To solve the system of equations:
5x + 2y = 14
x - 6y = 22
First, we can solve for x in the second equation:
x = 6y + 22
Now, we can substitute x into the first equation:
5(6y + 22) + 2y = 14
30y + 110 + 2y = 14
32y + 110 = 14
32y = -96
y = -3
Now that we have found the value for y, we can substitute it back into the second equation to solve for x:
x - 6(-3) = 22
x + 18 = 22
x = 4
Therefore, the solution to the system of equations is x = 4 and y = -3.
Solve the system of equations.
5x+2y=14
x−6y=22 (1 point)
1 answer