1. x - 2y = 11 —> x = 2y + 11
2. -7x - 2y = -13
3. Substitute x = 2y + 11 into equation 2: -7(2y + 11) - 2y = -13
4. Simplify Step 3: -14y - 77 - 2y = -13
5. Combine like terms in Step 4: -16y - 77 = -13
6. Add 77 to both sides in Step 5: -16y = 64
7. Divide both sides by -16 in Step 6: y = -4
8. Substitute y = -4 into equation 1: x - 2(-4) = 11
9. Simplify Step 8: x + 8 = 11
10. Subtract 8 from both sides in Step 9: x = 3
11. The solution to the system of equations 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
(Put the numbers below in order. ONLY use the numbers listed.)
• -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)
1 answer
1 answer