Question

Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

Answer 1

x= c+d/a+e

Explanation:

Answer 2

x =
`(c+d)/(a-b)`

Explanation:

Given

ax - c = bx + d ( collect the terms in x together )

Subtract bx from both sides

ax - bx - c = d ( add c to both sides )

ax - bx = c + d ← factor out x from each term on the left side

x(a - b) = c + d ← divide both sides by (a - b )

x =
`(c+d)/(a-b)`