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=(c)/(a-b),\qquad x=7}`

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=(c)/(a-b)` divided both sides by (a- b)

2x = x + 7 → a = 2, b = 1, c = 7

`x=(7)/(2-1)`

x = 7

Check:

2x = x + 7

-x -x

x = 7