Solve the following equations for y, substituting the given value for x:

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for each equation:

1)

Substitute $x = 124$ into the equation $2y = 2x - 84$ .
$2y = 2(124) - 84$
Multiply and subtract.
$2y = 248 - 84$ $2y = 164$
Divide by 2 to solve for $y$ .
$y = \frac{164}{2}$ $y = \boxed{82}$
2)
Substitute $x = 22$ into the equation $3y = -3x - 22$ .
$3y = -3(22) - 22$
Multiply and subtract.
$3y = -66 - 22$ $3y = -88$
Divide by 3 to solve for $y$ .
$y = \frac{-88}{3}$ $y = \boxed{-\frac{88}{3}}$
3)
Substitute $x = 7$ into the equation $4x + y - 22 = 16$ .
$4(7) + y - 22 = 16$
Multiply and simplify the constants.
$28 + y - 22 = 16$ $y + 6 = 16$
Subtract 6 from both sides to solve for $y$ .
$y = 16 - 6$ $y = \boxed{10}$

Answer