If QR = x + 10, RS = 8, and QS = 7x, what is QS?

Question

q x+10 r 8 s

7x

Answer 1

Hi Precious B

Do you have a question or questions about your diagram above? The diagram appears to show that

The length of Q to R plus the length of R to S equals the length of QS

QR + RS = QS

Substitution of the information given for each length, you can solve for x.

x + 10 + 8 = 7x

Combine the numbers

x + 18 = 7x

Subtract x from both sides of the equation

18 = 7x - x

18 = 6x

Divide both sides by 6

3 = x

Checking

QR + RS + QS

3 + 10 + 8 = 7(3)

21 = 21 = QS

I hope this helps.