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

Question

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)

GPT-4o mini · Answer

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

$x - 2 y = 11$ → $x = 2 y + 11$ (Isolate x)
Substitute $x$ in the first equation: $- 7 (2 y + 11) - 2 y = - 13$
Distribute -7: $- 14 y - 77 - 2 y = - 13$
Combine like terms: $- 16 y - 77 = - 13$
Add 77 to both sides: $- 16 y = 64$
Divide by -16: $y = - 4$
Substitute $y$ back into the equation for $x$ : $x - 2 (- 4) = 11$
Simplify: $x + 8 = 11$
Solve for $x$ : $x = 3$
Write the solution as an ordered pair: $(3, - 4)$

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