To solve this system of equations, we can use the substitution method.
From the second equation, we can express x in terms of y:
x = 2y - 9
Now, substitute x = 2y - 9 into the first equation:
-5(2y - 9) - 7y = 11
-10y + 45 - 7y = 11
-17y + 45 = 11
-17y = -34
y = 2
Now, substitute y = 2 back into x = 2y - 9:
x = 2(2) - 9
x = 4 - 9
x = -5
Therefore, the solution to the system of equations is x = -5 and y = 2.
Determine the solution to the system of equations below.
-5x – 7y = 11
x – 2y = -9
1 answer