Question

What is the value of x?

Answer 1

x=19, DE=84, EF=36

Explanation:

Since the total value of DF is 120, DE and EF must add up to 120. Therefore:

4x+8+2x-2=120

Combine like terms:

6x+6=120

Divide both sides by 6:

x+1=20

Subtract 1 from both sides:

x=19

This means that DE is 4(19)+8=84, and EF is 2(19)-2=36.

Hope this helps!

Answer 2

19, 84 and 36

Explanation:

DF=120

DF=DE+EF

DE=4x+8

EF=2x-2

• 4x+8+2x-2=120
• 6x+6=120
• 6x=114
• x=114/6
• x=19
• DE=4x+8= 4*19+8= 84
• EF=2x-2= 2*19-2= 36