Answer: Create equations. Top length=Bottom length
Left side = right side.
Combine like terms and rewrite the equations.
Use the new equations to create a system of equations to solve for x and y.
Once you have x and y, you can substitute those in the expressions for the lengths of the parallelogram.
You should end up with top and bottom lengths of 10. The sides are 9.
Explanation:
3x-5 = 18 -2y . Rewrite as 3x + 2y = 23
x+4 = 21 -3y Rewrite as x + 3y = 17
The system of equations is
3x + 2y = 23 and x + 3y = 17 . To solve by substitution, multiply the second equation by -3 It becomes -3x-9y= -51 Add the equations so the x terms cancel. Solve for y
3x + 2y = 23
-3x - 9y = -51
0 -7y = - 28 Divide both sides by -7. y = 4
Substitute 4 for y, solve for x
x + 3(4) = 17
x + 12 = 17 . Subtract 12 from both sides x = 5
Substitute the values of x and y in the expressions
Top: 3x-5 is 3(5) -5 becomes 10
Bottom: 18 -2y is 18 - 2(4) becomes 10
Left: x +4 is (5) + 4 becomes 9
Right: 21 - 3y is 12 -3(4) becomes 9