Question

EFG and GFH are a linear pair, EFG=3n+15 and GFH=5n+21. What are EFG and GFH?

a) EFG = 27, GFH = 40
b) EFG = 18, GFH = 30
c) EFG = 21, GFH = 36
d) EFG = 15, GFH = 26

Answer 1

The values of EFG and GFH are both 6.

Step-by-step explanation:

To find the values of EFG and GFH, we need to set the equations for EFG and GFH equal to each other and solve for the value of 'n'.

So, we have: 3n + 15 = 5n + 21.

Subtracting 3n from both sides, we get: 15 = 2n + 21.

Subtracting 21 from both sides, we get: -6 = 2n.

Then, dividing both sides by 2, we get: n = -3.

Now we can substitute the value of 'n' back into the original equations to find the values of EFG and GFH.

For EFG: EFG = 3(-3) + 15 = -9 + 15 = 6.

For GFH: GFH = 5(-3) + 21 = -15 + 21 = 6.

So, the values of EFG and GFH are both 6.