Solve the system of linear equations below by substitution. y = -2x + 6

-4x - 6y = 4

Group of answer choices

(-2, 10)

(5, -4)

(3, 0)

(0, 6)

Step-by-step explanation:

We are given the two equations:

We are asked to solve by substitution. Since we know that y is equal to -2x+6, so we can substitute the expression in for y in the second equation.

Now, solve for x by isolating the variable on one side of the equation.

First, distribute the -6 into the expression. Multiply each term in the parentheses by -6.

Combine like terms. There are 2 x terms that can be added.

36 is being subtracted from 8x. The inverse of subtraction is addition, so add 36 to both sides of the equation.

x is being multiplied by 8. The inverse of multiplication is division, so divide both sides by 8.

x is known, so we can find y using the first equation.

x is equal to 5, so substitute the value in.

Multiply first.

Add.

A solution is written as (x,y). So, the solution to this equation is (5, -4).