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3 years ago

What is the solution of the system? Use the substitution method.

1 answer:

8 0

Start by isolating one of the variables
x=-4y+2
Sub x into the other formula and solve for the y value of the solution.
3(-4y+2)+2y=11
-12y+6+2y=11
-12y+2y=11-6
-10y=5
y=-1/2
Sub the y value into the x formula you created.
x=-4(-1/2)+2
x=2+2
x=4
Therefore the solution is (4,-1/2) I think the answer is B unless the y value is actually -12.
Hope this helps :)

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(ASAP) Billie & Tony are siblings. It’s summer of 2015. Twice Billie’s age decreased by 3 is Tony’s age. Tony is fourteen ye

jeka94

Answer:

Billie's age = x = 17 years

Tony's age = y = 31 years

Step-by-step explanation:

Let

Billie's age = x

Tony's age = y

Twice Billie’s age decreased by 3 is Tony’s age.

y = 2x - 3..... Equation 1

Tony is fourteen years older than Billie.

x = y - 14

We substitute y - 14 for x in Equation 1

y = 2x - 3..... Equation 1

y = 2(y - 14) - 3

y = 2y - 28 - 3

y - 2y = -28 - 3

-y = -31

y = 31 years

Solving for x

x = y - 14

x = 31 - 14

x = 17 years.

Therefore:

Billie's age = x = 17 years

Tony's age = y = 31 years

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2 years ago

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Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

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2x - 3y = - 13

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

First obtain the equation in slope-intercept form

y = mx + c ( m is the slope and c the y-intercept )

calculate m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 5 ) and (x₂, y₂ ) = (- 2, 3 )

m = $\frac{3-5}{-2-1}$ = $\frac{-2}{-3}$ = $\frac{2}{3}$

y = $\frac{2}{3}$ x + c ← partial equation

to find c substitute either of the 2 points into the partial equation

using (1, 5 ), then

5 = $\frac{2}{3}$ + c ⇒ c = $\frac{13}{3}$

rearrange the equation into standard form

multiply through by 3

3y = 2x + 13 ( subtract 3y and 13 from both sides )

2x - 3y = - 13 ← in standard form

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3 years ago

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Will give brainliest if right, please help me with this math question

igomit [66]

84 is 60% of 140!

To get this answer, you have to do 84 x 100 and you get 8400: Then you divide 8400 by 60 and get 140.

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2 years ago

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IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?

bazaltina [42]

Answer:

A. 300π units³

Step-by-step explanation:

Formula for volume of a cone = ⅓πr²h

Where,

radius (r) = ½(10) = 5 units

height (h) = 36 units

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