3x - 7y = 13; x = -3, 0, 3

Solve the equation for y.
and solve for x.

when x = -3; y = -22/7

when x = 0;  y = -13/7

when x = 3;  y = -4/7

y = 3/7x - 13/7

x = 7/3y + 13/3

Step-by-step explanation:

x = -3;    3(-3) - 7y = 13; -9 - 7y = 13; -7y = 22; y = -22/7

x = 0;     3(0) -7y = 13; -7y = 13; y = -13/7

x = 3;     3(3) -7y = 13; 9 - 7y = 13; -7y = 4; y = -4/7

SOLVE FOR Y: 3x - 7y = 13; -7y = -3x + 13; y = 3/7x - 13/7

SOLVE FOR X: 3x - 7y = 13; 3x = 7y + 13; x = 7/3y + 13/3

The answer to your question is   V = 3724 in³

Step-by-step explanation:

Data

Dimensions

length = 19 in

width = 14 in

height = 14 in

Formula

To find the volume of a rectangular prism just multiply the length of the three sides (length x width x height).

      V = L x W x H

Substitution

      V = 19 x 14 x 14

Simplification

      V = 3724 in³