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

-7х - 2y =
—13
x - 2y = 11
(10 points)
=
x - 2y = 11 →> x = 2y +11

= 7(2y + 11) - 2y=-13

=-16y-77=-13

=x- 2(-4) = 11

=y=-4

= - 16y = 64

= x+8=11

= x =3

=-14y-77-2y=-13

= (3, -4)

1 answer

To solve the given system of equations using the substitution method, we can arrange the steps in the correct order:

  1. x2y=11x=2y+11 (Isolate x)

  2. Substitute x in the first equation: 7(2y+11)2y=13

  3. Distribute -7: 14y772y=13

  4. Combine like terms: 16y77=13

  5. Add 77 to both sides: 16y=64

  6. Divide by -16: y=4

  7. Substitute y back into the equation for x: x2(4)=11

  8. Simplify: x+8=11

  9. Solve for x: x=3

  10. Write the solution as an ordered pair: (3,4)

So the ordered sequence is: 1 → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 9 → 10.