# Solving Equations with Multiple Variables Exercises

### Example 1

The volume *V* of a rectangular box is given by the formula *V* = *lwh* where *l* is length, *w* width, and *h* height. What is the height of a rectangular box with volume 56 cm^{3}, length 4 cm, and width 2 cm?

### Example 2

Solve the formula 8*x* + 4*y* = 12 for *y*.

### Example 3

Solve the formula *z*^{3} – 3*x* + *z*^{2} = *z* for *x*.

### Example 4

If 4*x* – *y* = 5, find *x* when *y* = 15.

### Example 5

If *y*^{2} + 2*y* – 3*x* = 5, find *x* when *y* = 2.

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