Answer:
X=-2 and y=8. (-2,8)
Step-by-step explanation:
Let's solve your system by substitution.
y
=
3
x
+
14
;
y
=
−
4
x
Step: Solve
y
=
3
x
+
14
for y:
y
=
3
x
+
14
Step: Substitute
3
x
+
14
for
y
in
y
=
−
4
x
:
y
=
−
4
x
3
x
+
14
=
−
4
x
3
x
+
14
+
4
x
=
−
4
x
+
4
x
(Add 4x to both sides)
7
x
+
14
=
0
7
x
+
14
+
−
14
=
0
+
−
14
(Add -14 to both sides)
7
x
=
−
14
7
x
7
=
−
14
7
(Divide both sides by 7)
x
=
−
2
Step: Substitute
−
2
for
x
in
y
=
3
x
+
14
:
y
=
3
x
+
14
y
=
(
3
)
(
−
2
)
+
14
y
=
8
(Simplify both sides of the equation)
Answer:
x
=
−
2
and
y
=
8
If the given equations are y=3x+14 and y= -4x. The value of x and y for the equation will be -2 and 8 respectively.
What is an equation?Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.
It is given that the equations are,
y=3x+14 ----------(1)
y= -4x -------------(2)
In order to solve "by substitution," you must first solve one of the equations for one of the variables (you choose which one), plug that solution back into the other equation, "substituting" for the selected variable and then solve for the other.
Substitute the value of y from equation 2 in equation 1 as
y=3x+14
-4x=3x+14
Rearrange the equation in order to find the value of x as
-4x-3x=14
-7x=14
x= -14/7
x= -2
Put the value of x in equation 2 as
y= -4x
y= -4(-2)
y=8
Thus, if the given equations are y=3x+14 and y= -4x. The value of x and y for the equation will be -2 and 8 respectively.
Learn more about the equation here,
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Asapppp, plssss help meee :(
What is x in 7-onethirdx =11
Answer:
[tex]\frac{-1}{3} x = 11-7\\\\\frac{-1}{3} x = 4\\\\-1x = 4*3\\-1x = 12\\\\x = -12[/tex]
GR8reg_Math_T3_USA_OL_FY21 Question: 1-1
Malcolm and Theo's families are both traveling to the same vacation resort.
The equation d = 65t models the distance, d, that Malcolm's family travels after t hours.
The graph below shows the relationship between the distance and the amount of time that Theo's family traveled.
How much faster did Malcolm's family travel then theo's family
Answer:
15
Step-by-step explanation:
Since the Theo family are going 50 per hour so that is 50=t for the Theo family in the promblem it talks about Malcolmś family being 65t how many number are they apart
50
+15
-------
65
15 is your answer
Graham's monthly bank statement showed the following deposits and withdrawals.
- $87.45, - $24.76, $143.87 – $17.29 $348.90
If Graham's balance in the account was $456.78 at the beginning of the month,
what was the account balance at the end of the month?
Answer:
622.27
Step-by-step explanation:
- $87.45 + (- $24.76) + (-17.29) = $-129.5
$143.87 + $348.90 = $492.77
492.77 - (-129.5) = 622.27
4 ( y+2 ) = 2( y+4 )
Answer:
y=0
Step-by-step explanation:
8=8
A cookie factory uses 1/6 of a bag of flour in each batch of cookies the factory used 1/2 of a bag of flour yesterday how many batches of cookies did the factory make
Answer:
they made 3 batchs
Step-by-step explanation:
Divide. Round your answer to the nearest tenth.
39,527 = 7
HELPPP MEEEE
Answer:
3,266.53
Rounded to the nearest 0.01 or
the Hundredths Place.
Step-by-step explanation:
a² + b -c for a = 2 b = (-9) c = 4
Answer:
-9
Step-by-step explanation:
4+(-9)-4
4+(-13)
-9
Answer:
-9
4 + -9 - 4
4 + -9 + -4
4 + -13 = -9
Can anyone help me graph this plssss !
y−3=1/2(x+3)
I need this answer fasttt
Answer:
Slope=
2.000
1.000
=0.500
x−intercept=
−1
9
=−9.00000
y−intercept=
2
9
=4.50000
Step-by-step explanation:
Slope = 1.000/2.000 = 0.500
x-intercept = 9/-1 = -9.00000
y-intercept = 9/2 = 4.50000
Please help me with this
Step-by-step explanation:
3/4 x 11/11 = 44
7/12 x 5/5 = 35/60
18/72 = 6/6 x 3/12
Topic: Fractions
If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!
Please Help
How is an object's acceleration affected by its mass and the forces acting on it?
Answer:
Step-by-step explanation:
The acceleration of an object increases with increased forced and decreases with increased mass which is in the same direction as the force.
Tom buys a CD for $12.00. He sells it for $15.00. $15.00 is what percent of his original cost?
Answer:
The answer is 125%
Step-by-step explanation:
Fraction calculator
Cora and Hannah measured how high their pet frogs could jump. Cora's jumped x inches,
Hannah's jumped 5 inches less than Cora's. The frogs jumped a total of 53 inches together.
Circle the number that shows the distance Hannah's frog jumped.
Solve by substitution
-X-4y=8
x+4y=-1
Answer:
Your answer is: No solution
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Step-by-step explanation:
Hope this helped : )
What are the solutions to the quadratic equation 4(x + 2)2 = 36
Answer:
x=5/2
Step-by-step explanation:
You move right seven units. You end at 2,2. Where did you start?
Answer:
(2-7,2) = (-5,2)
Step-by-step explanation:
What method would i use to solve this?
3x-9=x-8
what is X??
Answer:
x=½
Step-by-step explanation:
3x-9=x-8(Group like terms)
3x-x=-8+9(You will subtract x which is also 1x from 3x which is going to be 2x Then you will add -8 to 9 making it 1(positive)).
2x=1(Divide both sides by 2)
x=½
Answer:
0.5
Step-by-step explanation:
3x-9=x-8
3x=x-8+9
3x=x+1
3x-x=+1
2x=+1
x=1/2
x=0.5
help me thanks . please
Answer:
0.1 > 10^-2
(I'm pretty sure I'm right. sorry if im wrong :(
A certain star is 2.4 x 102 light years from the Earth. One light year is about 5.9 x 1012 miles. How far
from the earth (in miles) is the star?
TL
miles from Farth
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
What are exponents?The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.
We are given that 1 light year ≈ 5.9 x 10¹² miles
so: the Coefficients for the problem are mathematically given a
Coefficients =2.4 x 5.9
Coefficients = 14.16
For Exponents;
Exponents= 10² x 10¹² = 10⁽²⁺¹²⁾
Exponents =10¹⁴
In conclusion, we put them together once again to produce a scientific notation;
14.16 x 10¹⁴
1.416 x 10¹⁵ miles
The distance of the earth from the star is; 1.416 x 10¹⁵ miles
Learn more about exponentiation here:
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Find the value of the following expression
(2^8 5^-5 19^0) x [5^-2 over 2^3]^4 x 2^28 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Looks like the expression is
(2⁸ • 5⁻⁵ • 19⁰) • (5⁻² / 2³)⁴ • 2²⁸
First, any positive number raised to 0 is 1:
(2⁸ • 5⁻⁵ • 1) • (5⁻² / 2³)⁴ • 2²⁸
(2⁸ • 5⁻⁵) • (5⁻² / 2³)⁴ • 2²⁸
Exponents in a denominator can be rewritten as negative exponents in the numerator:
(2⁸ • 5⁻⁵) • (5⁻² • 2⁻³)⁴ • 2²⁸
Distribute the 4th power across the product 5⁻² • 2⁻³ :
(5⁻² • 2⁻³)⁴ = 5⁻⁸ • 2⁻¹²
so we have
(2⁸ • 5⁻⁵) • (5⁻⁸ • 2⁻¹²) • 2²⁸
Multiplication is associative, so we can ignore the parentheses. Combine factors with equal bases and simplify the exponents:
2⁸ • 5⁻⁵ • 5⁻⁸ • 2⁻¹² • 2²⁸
2⁸⁻¹²⁺²⁸ • 5⁻⁵⁻⁸
2²⁴ • 5⁻¹³
Rewrite the negative exponent as a positive one:
2²⁴ / 5¹³
Please help i don’t understand
Is that everything for the problem??
||-//
David mixes 2 liters of lemon juice with 9 liters of water to make lemonade. Which ratio of liters of lemon juice to liters of water will make the same concentration of lemonade?
F: 3 : 10
G: 10 : 72
H: 14 : 63
J: 27 : 6
Answer:
J
Step-by-step explanation:
6/5 58.9% 1.77 0.169 =
Order from least to greastest
The answer fam is.........
0.169
58.9%
1.77
6/5
A cyclist travels 12 km from home to the park.
She leaves home at 13:00 and arrives at the park at 13:30.
What is her average speed in km/h?
Answer:
Step-by-step explanation:
12 km to the park in 30 mins so multiply the 12 km by 2 to make a whole hour.
12*2= 24 km/h
what is the sum of all positive integer cubes that are less than 100
Step-by-step explanation:
2^3=8
3^3=27
4^3=64
so if you add all the positive integer cubes it will be 8+27+64=99
hence 99 is less than 100
Hence solved.
help me please i have 2 more after this
Answer:
poop
Step-by-step explanation:
asdasdasd
Answer:
114
Step-by-step explanation:
corresponding angles
congruent
A notebook, a pencil case, and a calculator weigh 600 grams total. The notebook weighs 240 grams and the calculator weighs 265 grams. How much does the pencil case weigh?
Answer: 95 grams
Step-by-step explanation:
Add the notebook weight and the calculator weight. 240 + 265 = 505 now subtract 505 from 600. That equals 95
Just got a 100 point question skim answered HA
Answer:
THis is not a question
Step-by-step explanation:
Question in picture pls hurry im timed
Answer:
256
Step-by-step explanation:
4*4*4*4=256
Hope this helps!!