The solution to the system of equations using substitution is: x = 3 and y = -4.
How to Solve a System of Equations Using Substitution?
Given the system of equations:
-7x - 2y = -13 -----> equation 1
x - 2y = 11 -----> equation 2
Rewrite equation 2
x - 2y = 11
x = 11 + 2y
Substitute x = (11 + 2y) into equation 1
-7(11 + 2y) - 2y = -13
-77 - 14y - 2y = -13
-77 - 16y = -13
-16y = -13 + 77
-16y = 64
y = -4
Substitute y = -4 into equation 2
x - 2(-4) = 11
x + 8 = 11
x = 11 - 8
x = 3
Therefore, the solution to the system of equations using substitution is: x = 3 and y = -4.
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