Question

Substitution method
y=-3x+7
y=8x-26

Answer 1

To solve the system of equations using the substitution method, we can substitute the value of y from one equation into the other equation:

Substituting y = -3x + 7 into the second equation:
-3x + 7 = 8x - 26

Now we can solve for x:
11x = 33
x = 3

Substituting this value of x back into y = -3x + 7, we get:
y = -3(3) + 7
y = -9 + 7
y = -2

Therefore, the solution to the system of equations is x = 3 and y = -2.