Question

What is the solution to the system of equations? {x=−3y−63x+4y=2 (−18, 4) (6, −4) (−18, −4) (−30, 8)

Answer 1

The solution set is:(−18, −4)

Step-by-step explanation:

Given equations are:

$x=-3y-6\ \ \ \ Eqn\ 1\\3x+4y=2\ \ \ \ Eqn\ 2$

Putting x=-3y-6 in equation 2

$3(-3y-6)+4y=2\\-9y-18+4y=2\\-5y-18=2\\Adding\ 18\ on\ both\ sides\\-5y-18+18=2+18\\-5y=20\\Dividing\ both\ sides\ by\ -5\\\frac{-5y}{-5}=\frac{20}{-5}\\y=-4$

Putting y=-4 in eqn 1

$x=-3(-4)-6\\x=-12-6\\x=-18$

Hence,

The solution set is:(−18, −4)

Keywords: Linear equation, Variable

Learn more about linear equations at:

• brainly.com/question/12896802
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