20 pointsin parallelogram defg, dh = x + 1, hf = 3y, g h = 3 x − 4 , and he = 5y + 1. find the values of x and y.

Value of x: 2.5

Value of y: -0.5

To find x:

x + 1 = 3x - 4

-x         -x

1 = 2x - 4

+4      +4

5 = 2x

--    ---

2     2

2.5 = x

Check:

2.5 + 1 = 3(2.5) - 4

3.5 = 7.5 - 4

3.5 = 3.5

To find y:

3y = 5y + 1

-5y   -5y

-2y = 1

---      

-2       -2

y = -0.5

Check:

3(-0.5) = 5(-0.5) + 1

-1.5 = -2.5 + 1

-1.5 = -1.5

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: