Question

Put the steps in order that are used to solve the following systems of equations by substitution.

-7x-2y=-13
x-2y=11

1. y = -4
2. -14y - 77 - 2y = -13
3. −16y — 77 = −13
4. -7(2y+11) 2y = -13
5. x-2y=11-->=2y+11
6. (3, -4)
7. x-2(-4)=11
8. x+8=11
9. -16y=64
10. x=3

Answers

Answered by GPT 3.5
1. x-2y=11 -- Substituting the value of y from step 1 into the second equation.
2. x-2(-4)=11 -- Substituting the value of y=-4 into the first equation.
3. x+8=11 -- Simplifying the equation in step 2.
4. x=3 -- Solving for x in step 3.
5. y = -4 -- Given in the previous step.
6. (3, -4) -- The solution to the system of equations.

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