Question

Show and justify the steps for solving ax=bx+c where a≠b. then use the literal equation's solution to obtain the solution of 2x=x+7.

Answer 1

Answer: $\bold{x=\dfrac{c}{a-b},\qquad x=7}$

Step-by-step explanation:

Move all of the x's to one side and everything else on the other.

ax = bx + c

ax - bx = c      subtracted bx from both sides

x(a - b) = c       factored out the like term of "x" on left side

$x=\dfrac{c}{a-b}$          divided both sides by (a- b)

2x = x + 7  → a = 2, b = 1, c = 7

                    $x=\dfrac{7}{2-1}$

                     x = 7

Check:

2x = x + 7

-x    -x      

x =       7