Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.

3x + y = -2
y = 2x + 3

Answers

Answer 1

Step-by-step explanation:

substitute the value of y

3x+2x+3=-2 (collect like term)

5x=-2-3 (calculate the difference)

5x=-5 (both side over 5)

x=-1

i hop it helps you❤


Related Questions

How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution​

Answers

Answer:

It has got one solution since it is a linear equation which falls under polynomials

What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]

First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.

[tex]3\left(12x-16\right)[/tex]

[tex]=3\cdot \:12x-3\cdot \:16[/tex]

[tex]=36x-48[/tex]

[tex]4\left(12-3x\right)[/tex]

[tex]=4\cdot \:12-4\cdot \:3x[/tex]

[tex]=48-12x[/tex]

Now we've simplified the expression to:

[tex]36x-48=48-12x[/tex]

[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]

[tex]36x-48+48=48-12x+48[/tex]

[tex]36x=-12x+96[/tex]

[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]

[tex]36x+12x=-12x+96+12x[/tex]

[tex]48x=96[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]

[tex]\frac{48x}{48}=\frac{96}{48}[/tex]

[tex]\bold{x=2}[/tex]

Therefore, the answer is [tex]x = 2[/tex]

The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].

Given equation,

[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]

Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.

Simplified expression:

Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.

On Solving the brackets, we get

[tex]3.6x-4.8=4.8-1.2x\\[/tex]

[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]

[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]

[tex]\ x= 2[/tex]

Hence, the solution of the given equation is [tex]x=2[/tex].

For more details about expressions follow the link:

https://brainly.com/question/545403

Which of the following sets of points are vertices of a right triangle?
O AC-1, 1), B(3,5), C(4, - 4)
O None of the other answers are correct
O A(-1, 3) B(-4, -3) C(-4,1)
O A(-1, -3) B(4, - 3), C(2, - 1)
A(-2, 2) B(1, - 4). C(4, 2)

Answers

Please find the picture for your triangle.We know, area of a ∆ = 1/2 × base × heightHere, base = ( 1 + 7 ) units = 8 unitsHeight = ( 7 - 1 ) units = 6 unitsTherefore, area of the ∆ = (1/2 × 8 × 6) square units= 24 square units.

Answer:

24 square units

Hope you can get an idea from it.

Carry on learning.

Doubt clarification - use comment section.

62 out of 100 children prefer strawberries. What percentage of children prefer strawberries

Answers

Answer:

it is 62

Step-by-step explanation:

62 out of 100 is equal to 62/100 or 62%

is this correct ? if not what’s the correct answer?

Answers

It would be B. X is on a right angle which is 90 degrees and you must take into thinking that all three angles must be 180. Since it is a mirrored shape, corner E is the same as corner C which is 46.

This adds up to 136 and you must subtract 136 from 180 and is 44.

PLEASE HELP. WILL MAKE BRAINLIEST!!!!
1 cup of water with 1 1/2 teaspoons of powdered drink mix
2 cups of water with 1/2 teaspoon of powdered drink mix
1 cup of water with 1/4 teaspoon of powdered drink mix

Which of these recipes is for the stronger tasting mixture. Explain how you know.

Answers

Answer: 1 cup of water with 1 1/2 teaspoons of powdered drink.

Step-by-step explanation:

I know this, because if 1 cup is 1 1/2 teaspoons of powdered drink, then 2 cups of water would have 3 teaspoons of powdered drink mix, so the second option is out. And, the third option is out because it less than 1 cup of water with 1 1/2 teaspoons of powered drink mix.

find the derivative of sin2X

Answers

Step-by-step explanation:

Derivation using Product rule : -

To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,

f '(x) = uv' + vu'

= (2 sin x) (- sin x) + (cos x) (2 cos x)

= 2 (cos2x - sin2x)

= 2 cos 2x

This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.

Thus, derivation of sin 2x has been found by using the product rule.

Answer:

2cos2x

Step-by-step explanation:

Using the Chain rule

[tex]\frac{d}{dx}[/tex] (sin2x)

= cos2x × [tex]\frac{d}{dx}[/tex] (2x)

= cos2x × 2

= 2cos2x

solve using substitution
x-10y=10
x= -10

Answers

-10 -10y = 10
+10 +10

-10y = 20

20/-10 = -2

Y = -2

Answer:

y = -2

Step-by-step explanation:

x - 10y = 10=> -10 - 10y = 10=> -10y = 10 + 10=> -10y = 20=> y = -2

Conclusion:

Therefore, y = -2.

Hoped this helped.

[tex]GeniusUser[/tex]

For a given set of populations and house sizes, different methods of apportionment
may lead to different apportionments.

True
False

Answers

Answer: the answer should be true

SOS, I really need help! I accidentally slept in.​

Answers

Dynamite blue fire red grape purple

1. A vendor at the farmer's market was selling a bag of 8 potatoes for $2.56. Another
vendor was selling a bag of 10 potatoes for $4.32. Which bag is the better deal?

Answers

Answer:

The second bag is the better deal

Step-by-step explanation:

8÷2.56= $3.13 per potato

10÷ 4.32= $2.31 per potato

It takes 2 yards of material to
make 6 scarves, how many yards of material are needed to make 24
scarves?

Answers

12 scarves are made

Hope this helped

Out of 74 students in the gym, 55 are sitting on the bleachers and the rest are sitting on the floor. What is the ratio of the number of students sitting on the floor to the total number of student?

Answers

Answer:

19:74

Step-by-step explanation:

74-55=the people sitting on floor=19

19:74

Simplify -1-18
-
(18)
O - |18|
0-18
O 18

Answers

Answer:

simplify -1-18

Step-by-step explanation:

Subtract  18  from −1

− 19

NEED HELP ASAP WILL GIVE BRAINLIESTfor which values of x does each expression make sense?sqrt x+5

Answers

Answer:

can I see a picture? so I can try & help u

Answer:

x≥-5

Step-by-step explanation:

Mr Thompson drew a rectangle on the chalk board with a length to width ratio 5 to 2 he asked students to draw a rectangle with the same ratio of length to width in their journals. Audrey plans to draw a rectangle with a width of 6 centimetres .

Answers

get ratioed                           skull skull

Mitch is attending a 4-year college. As a freshman, he was approved for a 10-year, federal
unsubsidized student loan in the amount of $8,100 at an APR of 4.29%. Mitch decides to
make no payments during the 4.5-year deferment period. After interest is capitalized at the
end of the 4.5-year period, what will his new principal amount be?

Answers

Answer:

Interest capitalization occurs when unpaid interest is added to the principal amount of your student loan. When the interest on your federal student loan is not paid as it accrues (during periods when you are responsible for paying the interest), your lender may capitalize the unpaid interest.

Step-by-step explanation:

Determine whether the given is a polynomial in one variable or not:

Polynomial: 4x^2-3x+7

Answers

The polynomial is

[tex] {4x}^{2} - 3x + 7[/tex]

Here all the exponents of x are whole numbers, i.e, 2 and 1 are whole numbers.So, this polynomial is a polynomial in one variable.Its variable is x.

So, the given polynomial is a polynomial in one variable.

Hope you could get an idea from here.

Doubt clarification - use comment section.

help me 20 pts pls and brainliest

Answers

Answer:

elaboration

Step-by-step explanation:

tthe definition of elaboration is the addition of more detail concerning what has already been said. so out of these options, elaboration best fits answers the question

C :Elaboration



To elaborate means to give more clarification about something

Simplify w4z8 ÷ w2y2z4.

Answers

Answer:

w^2z^4/y^2

Step-by-step explanation:

Help help help help math

Answers

F(-1)=-3(-1)+3
F(-1)= 3+3
F(-1)=6

Select the correct answer from each drop-down menu.

Answers

Answer:

so sorry i don't know the answer

Simplify the expression.
53 + (- 12) + (- 4t)​

Answers

Answer:

8

Step-by-step explanation:

41-4t

Hope this helps ^^

-3x-2y=-6
-3x+2y=18
(?,?)

Answers

[tex]\left \{ {-3x-2y = -6} \atop {-3x+2y=18} \right. <=>\left \{ {-6x=12} \atop {-3x+2y=18} \right. <=> \left \{ {x=-2} \atop {y=6} \right.[/tex]

The answer: ( x ; y ) = ( -2 ; 6 )

Ok done. Thank to me :>

20 points.

The midpoint of AB is (-1, 5) and the coordinates of point A are (-3, 2) what are the coordinates of point B? ​

Answers

Answer:

B (1, 8 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A (- 3, 2 ) and (x₂, y₂ ) = B (x, y )

Calculate the midpoint values and equate to the corresponding coordinates of the given midpoint (- 1, 5 ) , that is

[tex]\frac{-3+x}{2}[/tex] = - 1 ( multiply both sides by 2 )

- 3 + x = - 2 ( add 3 to both sides )

x = 1

[tex]\frac{2+y}{2}[/tex] = 5 ( multiply both sides by 2 )

2 + y = 10 ( subtract 2 from both sides )

y = 8

Then point B = (1, 8 )

please help me guys :) !

Answers

Answer:

{13, 9, 5, 1}

Step-by-step explanation:

Here the four inputs (x-values) are {1, 2, 3, 4}.  The corresponding y-values are calculated using the formula y = 17 - 4x, and are as follows:

x       y

1        17 - 4(1) = 13

2       17 - 4(2) = 9               In summary, the (vertical) 2nd column,

3        17 - 4(3) = 5               containing the y-values, is {13, 9, 5, 1}

4         17 - 4(4) = 1

solve pls brainliest

Answers

Answer:

Yes

Yes

Yes

No

No

Step-by-step explanation:

-42/6 = -7

17/18 = 0.9444444 (4 repeating)

Integers = whole numbers whether negative or not, but it does not have a decimal.

NPM = __?__

Less than BAC

Less than CAB

Less than BCA

Less than ABC

Answers

BCA

By the way, the “less than” isn’t a less than symbol lol

Darren got 42 out of 56 questions correct on a test. What percent of the questions did he get correct?

Answers

Answer:

75%

42/56 =  42/56

Convert to decimal form:

42÷56 = 0.75

= 75%

Can you mark as brainliest if its right?

Answer:

75%

Step-by-step explanation:

42/56 = 0.75 = 75%

can someone help me with this answer plsss

Answers

Answer: 44 ft

Step-by-step explanation:

if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.

The left rectangle is

8+8=16

6+6=12

16+12=28

Now you add the square on the right to the square on the left which is

28+16= 44 ft

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