Solve the system of equations 5x + 2y = 14; x - 6y = 22 ( 1 point)
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 = 6y + 22
Now substitute x in 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 of y, we can substitute it back into the equation to find x:
x = 6(-3) + 22
x = -18 + 22
x = 4
So, the solution to the system of equations is x = 4 and y = -3.