Question

8(x+9)=72−5x

How many solutions are there for the following equation? Why?

A. There are no solutions, because the coefficients of the variables on both sides of the equation are different.

B. There is one solution, because the coefficients of the variables on both sides of the equation are the same.

C. There are no solutions, because the coefficients of the variables on both sides of the equation are the same.

D. There is one solution, because the coefficients of the variables on both sides of the equation are different.

Answer 1

Answer:

0

There is one solution, because the coefficients of the variables on both sides of the equation are different.

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Answer 2

$\blue{ \sf Option \: \: D}$

$8(x + 9) = 72 - 5x$

$\implies 8x + 72= 72 - 5x$

$\implies 8x +5x= 72 -72$

$\implies 13x=0$

$\orange{ \therefore x=0}$

HOPE IT HELPS!