Solve the system of equations. 5x–4y=–44 –x+3y=22 (1 point) (, )
To solve the system of equations, we can use the substitution method:
1. Solve the second equation for x:
-x + 3y = 22
x = 3y + 22
2. Substitute x = 3y + 22 into the first equation:
5(3y + 22) - 4y = -44
15y + 110 - 4y = -44
11y + 110 = -44
11y = -154
y = -14
3. Substitute y = -14 into x = 3y + 22:
x = 3(-14) + 22
x = -42 + 22
x = -20
Therefore, the solution to the system of equations is x = -20, y = -14.