Solve the system of equations systems and linear equations unit test 5x - 4y = - 44 - x + 3y = 22
To solve the system of equations, we can use the substitution or elimination method.
I will use the substitution method for this problem.
1. Start with the first equation:
5x - 4y = -44
Solve for x:
5x = 4y - 44
x = (4y - 44) / 5
x = 4/5y - 44/5
2. Substitute this expression for x into the second equation:
-x + 3y = 22
-(4/5y - 44/5) + 3y = 22
-4/5y + 44/5 + 3y = 22
-4y + 44 + 15y = 110
11y + 44 = 110
11y = 66
y = 6
3. Substitute the value of y back into the expression for x:
x = 4/5(6) - 44/5
x = 24/5 - 44/5
x = -20/5
x = -4
Therefore, the solution to the system of equations is x = -4 and y = 6.