1. x - 2y = 11 —> x = 2y + 11
2. Substitute the expression for x in the first equation: -7(2y+11)-2y=-13
3. Simplify: -14y - 154 - 2y = -13
4. Combine like terms: -16y - 154 = -13
5. Move the constant term to the other side: -16y = 141
6. Divide by -16: y = -4
7. Substitute the value of y into the second equation to solve for x: x - 2 (-4) = 11
8. Simplify: x + 8 = 11
9. Move the constant term to the other side: x = 3
10. The solution is (x, y) = (3, -4)
Put these steps into order that are used to solve the following systems of equations by substitution.
-7x -2y = - 13
x - 2y = 11
(Only use the numbers below and put them in order.)
• -7(2y+11)-2y=-13
• x+8=11
• x - 2y = 11 —> x = 2y + 11
• -16y - 77 = -13
• x = 3
• -14y - 17 -2y = -13
• y = -4
• -16y = 64
• x - 2 (-4) = 11
• (3,-4)
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