Solve the system of equations.
\begin{aligned} & -4x+3y = -2 \\\\ & y=x-1 \end{aligned}


−4x+3y=−2
y=x−1

Answers

Answer 1

Answer:

x = -1 ; y=0

Step-by-step explanation:

We plug in the y, from the second equation, in the first one. By doing so we obtain:

-4x +3(x-1) = -2

-4x + 3x - 3 =-2

-x = 1

x= -1

Now we take this value and plug it in the second equation:

y = 1-1 = 0

Solution:

(-1,0)

Answer 2
-4x+3(x-1)=-2
-4x+3x-3=-2
-4x+3x=-2+3
-x=1
x=-1

y=-1-1
y=-2

(x,y)
(-1, -2)

Related Questions



What is the value of (-5)2?

Answers

-10 because 5 x 2 is 10 but it’s negative instead

Answer:

-10

Step-by-step explanation:

when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !

Example: (3)2=6           6(6)=36

in our case it is (-5)2        So was ist -5 x 2? -10

hope this helped!

for some extra practice to check your knowledge, what is (-3+-2)2 ?

The difference between two numbers is 8. if 2 is added to the bigger number the result will be three times the smaller number. Find the numbers.

Answers

Answer:

The bigger number is 13 and the smaller number is 5

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After
returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars
does Phelan now have? Round to the nearest cent.
1 European euro = 1,3687 US dollars
O 44.70 US dollars
O 73.06 US dollars
O 136.87 US dollars
O 140.41 US dollars

Answers

Answer:

$140.41

Step-by-step explanation:

250 * 1.3687 = 3412.175 Euros.

- 150 Euros = 192.175

192.175  1.3687 = $140.41

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

Write the word sentence as an equation. Then solve.

The difference of a number n and 3 is -7.

Answers

Answer:

n-3 = -7

n = -4

Step-by-step explanation:

(Meeting character limit)

Answer:

-4

Step-by-step explanation:

n - 3 = -7, n = -4

Solve the inequality. Graph the solution.

−16>x÷2

Answers

Answer:

-32>x

Step-by-step explanation:

-16>x÷2

-16×2>x

-32>x

(x - y + z) : (y - z + 2w) : (2x + z - 10) = 2:3:5 Then ( 3x + 3z - 2w) : w = ?pgvzcmckyc?​

Answers

Answer:

19

Step-by-step explanation:

in question given ,x = 2, y = 3, z = 5 in this way

(3x+3z+2w) and find the value of w . according to given values and put

Answer:

  4 +30/w . . . . for any w≠0

Step-by-step explanation:

The given constraints resolve to 2 equations in 4 unknowns. There are an infinite number of solutions.

The ratio requirement means ...

  (x -y +z)/2 = (y -z +2w)/3 = (2x +z -10)/5

Considering the first equality, we can multiply by 6 and subtract the right side.

  3(x -y +z) -2(y -z +2w) = 0   ⇒   3x -5y +5z -4w = 0

Considering the first and last expressions, we can multiply by 10 and subtract the right side.

  5(x -y +z) -2(2x +z -10) = 0   ⇒   x -5y +3z = -20

These two equations have solutions ...

  x = 10 -z +2w

  y = 6 + 0.4z +0.4w

Using these expressions in the ratio of interest, we have ...

  (3x +3z -2w) : w = (3(10 -z +2w) +3z -2w) : w = (30 -3z +6w +3z -2w) : w

  = (30 +4w) : w

Expressed as a mixed number, the ratio of interest is ...

  (30 +4w)/w = 4 +30/w . . . . an infinite number of solutions

__

For positive values of w that are divisors of 30, there are 8 possible values:

   (w, ratio) = (1, 34), (2, 19), (3, 14), (5, 10), (6, 9), (10, 7), (15, 6), (30, 5)

_____

Check

It might be interesting to substitute the expressions for x and y into our original equation(s).

  (x -y +z)/2 = ((10 -z +2w) -(6 +0.4z +0.4w) +z)/2 = (2 -0.2z +0.8w)

  (y -z +2w)/3 = ((6 +0.4z +0.4w) -z +2w)/3 = (2 -0.2z +0.8w)

  (2x +z -10)/5 = (2(10 -z +2w) +z -10)/5 = (2 -0.2z +0.8w)

All of these expressions are identical, as they should be.

What is the value of x in the equation 8+4 = 2(x-1)2
O 5
11
o
2

o
13
2
O 7

Answers

Step-by-step explanation:

→ 8 + 4 = 2(x -1)

→ 12 = 2x - 2

→ 2x - 2 = 12

→ 2x = 12 + 2 = 14

→ x = 14/2 = 7

→ x = 7

hence, option D (7) is correct.

Hope this answer helps you dear ! take care

help plsssssssssssssssssssssssssssss

Answers

Answer:

0

the answer is 0........

It’s 0 not sure so please don’t get mad

it's C. y = 1/2x + 2

Answers

Answer: what are you asking im lost

Step-by-step explanation:

what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER

Answers

Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

(3x(3)+9X(2)+27X)/3X

Answers

3x | 3x^3+9x^2+27x |x^2+3x+9x

- 3x^3

-------

9x^2

- 9x^2

---------

27x

- 27x

--------

0

Answer:

x^2 + 3x + 9x

Hope you could get an idea from here.

Doubt clarification - use comment section.

For what values of x and y are the triangles to
the right congruent by HL?
M
X=1
35
=
and y=

Answers

Answer:

y=48

Step-by-step explanation:

180-135=55-7=y=48

21 cans of tomato paste of the same size have weight of 7300 grams. What is the weight of 5 cans.

Answers

Answer:

answer is 347.6

Step-by-step explanation:

21/7300= 347.6

The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.​

Answers

Answer:

3, 5, ,7 or 9, 5, 1

Step-by-step explanation:

Let the three terms in AP be a - d, a & a + d

where a = First term and d = Common difference.

Condition 1: sum of three terms in AP is 15.

a - d + a + a + d = 15

3a = 15

a = 15/3

a = 5

Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:

a - d - 1, a - 1, a + d + 1

These terms are in G.P.

[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]

Wildcat Pizza, Inc. is trying to decide whether to revise its target capital structure. Currently, it targets a 50-50% mix of debt and equity, but it is considering a target capital structure with 70% debt. Wildcat currently has 6% after-tax cost of debt and a 12% cost of common stock. The company does not have any preferred stock outstanding

Answers

I don’t understand, explain further.

Select all statements that are true.

All points on the same plane are congruent.
All points on the same plane are congruent.

All segments on the same plane are congruent.
All segments on the same plane are congruent.

All angle on the same plane are congruent.
All angle on the same plane are congruent.

All triangles on the same plane are congruent.

Answers

Congruence  means equivalence in comparison.

All points on the same plane are congruent. (True)

A point is an exact location .

It can be anywhere on the plane. It has one dimension. The point is always the same.

All segments on the same plane are congruent. (False)

A line segment has two end points.It can be of different length.Two line segments are congruent only if they have the same length.

Without knowing the lengths of different segments these cannot be termed as congruent.                                                                                                                                                                      

All angle on the same plane are congruent. (False)

Two angles can only be the same if they have the same position with regard to parallel lines. Two angles can only be same if they have the same degree of measurement.

All triangles on the same plane are congruent.  (False)

Two triangles are congruent if they have

same lengths of their corresponding sidessame measurements of the three angles of both triangles.

The triangles congruence can also be understood by

https://brainly.com/question/1675117

The angles congruence can also be understood by

https://brainly.com/question/10128662

The line segments congruency can also be understood by the following link

https://brainly.com/question/82457

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

7/12 or 8/12 are both good options

Step-by-step explanation:

nvr mind, its 7/12 only

Can someone please explain step by step on how to do times fractions? Like for an a example!
4/5 • 2/3 ?

Answers

When multiplying fractions you multiply the denominators by the denominators and the numerators by the numerators
For example
4/5x 2/3
8/15

Of course!

First, you'll need to line up both of your fractions, there's no need to have common denominators because you'll be multiplying straight across.

Next, multiply both numerators together straight across, then denominators.

4·2=  8

5·3= 15

Most fractions will need simplified after you've multiplied your fractions, but your product (8/15) doesn't need simplified since there's no common factors with 8 and 15, or a relationship.

Answer: 8 / 15

Help me solve this please

Answers

Step-by-step explanation:

8x + 4y <= 136

2x + y <= 34

trying (15, 9) :

2x + 7y <= 70

2×15 + 7×9 <= 70

30 + 63 <= 70

93 <= 70

that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.

trying (0, 10) :

2×0 + 7×10 <= 70

70 <= 70

that is true.

2×0 + 10 <= 34

10 <= 34

also true.

so, (0, 10) is the correct answer option.

Given the perimeter of a rectangle and either the length or width, find the unknown measurement using the appropiate formula. The perimeter is 98 in. and the width is 22 in.

Answers

Answer:

the length of rectangle is 27 in

Use the distributive property to write an experssion that is equalent to 7(3x-4)

Answers

Answer:

21x-28

Step-by-step explanation:

the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.

Answer:

21x-28

Step-by-step explanation:

distribute the 7 to the 3x & the -4

you get 21x-28

Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?

Answers

Answer:

3 bags

Step-by-step explanation:

add 15 x 15 x 15 and you should have enough bags

Tyler is saving to buy a new videogame system. For every $15 he earns mowing lawns, he saves $9. On Saturday, Tyler earned $105 mowing lawns. How much money did he save?

Answers

Answer:

$63

Step-by-step explanation:

First, we find the percentage that he saves:

9 is 3/5 of 15 which is 60%, 9 is 60% of 15 which means he save 60% of the money that he earns so,

60% of 105 = 63

This means he saved $65 from the money he earned.

Hope this helps!

Help please ! Sishsoshsishsjdhshishd

Answers

(-1,-5) is the answer top left.

Use the Fundamental Theorem of Calculus to find y′. pls help

Answers

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

Solve for the unknown values.
95x
50y
X=
degrees
y =
degrees

Answers

Answer:

x=85 degrees, y=45 degrees

Step-by-step explanation:

solve for x first:

because there is a straight line (meaning that the angle is 180 degrees), the sum of x and 95 must be 180.

x+95=180 so solving for x would result in x=85 degrees (180-95)

then to solve for y:

the total sum of the interior angles of a triangle is 180 degrees.

so if you know x and the given 50, then to solve for y:

50+85(angle x)+y=180

then solve for y to get 45 degrees (180-(50+85))

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

Answers

Answer:

$15,589

Step-by-step explanation:

Since it deteriorated 15%, it is now worth 85% of the original.

18340 * .85 = 15589

Loquan has 2 pieces of fabric, each measuring 3 & 1/4 feet long. How many feet of fabric does Loquan have in total?

Answers

Answer:

3+1/4= 3 1/4

Hope This Helps!!!

The total fabric which Loquan has is equal to 6.5 feet.

It is given that Loquan has 2 pieces of fabric . Each of the fabric is [tex]3\frac{1}{4}[/tex] feet long.

We have to find out the total fabric in feet which Loquan does have.

What will be the total length if there are two ropes of 1 meter each ?

The total length of the rope can be calculated by multiplying no. of ropes with length of one rope and that will be equal to 2 × 1 or 2 meter.

As per the question ;

Loquan has 2 pieces of fabric , each having length of  [tex]3\frac{1}{4}[/tex] feet

The total length of fabric can be calculated by multiplying 2 with

[tex]3\frac{1}{4}[/tex] feet.

i.e.,

2 ×  [tex]3\frac{1}{4}[/tex]

= 2 × [tex]\frac{13}{4}[/tex]

= [tex]\frac{13}{2}[/tex]

= 6.5 feet

Thus , the total fabric which Loquan has is equal to 6.5 feet.

To learn more about unitary methods click here ;

https://brainly.com/question/26700669

#SPJ2

A person of 600 newtons
gets on an elevator which
lifts him 6 meters in
10 seconds. How much
power was used?

Answers

Answer:

360J/s

Step-by-step explanation:

power=work done/ time

power=600×6/10

=3600/10

=360

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