Given that q-5 is a solution of the equation 2(3+x)=3q-3+5x, find the value of q and of x.

Question

asked Mar 2, 2024 61.9k views

1 Answer

KeironLowe · Answer 1 · 2024-03-08T21:52:08+0000

Answer:

q=4, x=-1

Explanation:

The given equation is:

2(3+x)=3q-3+5x---(1)

Since
x=q-5 is a solution of the equation above, so substitute x=q-5 into (1) as follows:

$2(3+q-5)=3q-3+5(q-5)\\2(q-2)=3q-3+5q-25\\2(q-2)=8q-28\\q-2=4q-14\\4q-q=-2+14\\3q=12\\q=4$

Then, it follows:

$x=q-5\\\therefore x=4-5=-1$