The value of x to the system of equations

They are both equal to y so you can set them equal to each other to solve for x:
14x - 6 = -4x + 48
18x = 54
x = 3
To solve for y just plug 3 into the x of one of the given equations
y = 14(3) - 6
y = 42 - 6
y = 36
To check:
36 = 14(3) - 6
36 = 42 - 6
36 = 36
36 = -4(3) + 48
36 = -12 + 48
36 = 36
Hope this helped!