Question

Solve the system of equations using substitution.
y = x + 6
y = –2x – 3

Answer 1

hope this helps! feel free to clarify

Answer 2

x = -3

y= 3

Explanation:

y = x + 6 -----------------------(I)

y = -2x - 3 ---------------------(II)

Substitute y =x +6 in equation (II)

x + 6 = -2x - 3

Add 2x to both sides

x + 2x +6 = -3

Combine like terms

3x + 6 = - 3

Subtract 6 from both sides

3x = - 3 - 6

3x = -9

Divide both sides by 3

x = -9/3

x = -3

Plug in s = -3 in equation (I)

y = -3 + 6

y = 3