Question

If you were to use the substitution method to solve the following system, choose the new

equation after the expression equivalent to x from the second equation is substituted into the
first equation.
2x – 3y = -29
x + 4y = 13 (6 points)
1) 2(4y + 13) – 3y = -29
2) 2(-4y + 13) – 3y = -29
3) 2x - 3(4y + 13) = -29
O4) 2x - 36-4y + 13) = -29

Answer 1

Option 2

Explanation:

We will use the substitution method, as the question asks for. The second equation (where x or y is isolated on one side) will be susbstituted as the x or y in the first equation.

2x-3y=-29

x+4y=13

let's isolate x onto one side in the second equation.

Subtract 4y from both sides

x=-4y+13

now we can substitute the expression as x in the first equation

2(-4y+13)-3y=-29

it's the 2nd option

Hope this helps!