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: ax – c = bx + d ax – bx = d + c x (a – b) = d + c x = x equals StartFraction d plus c Over a minus b EndFraction. How can Victoria justify Step 3 of her work? Rewrite the expression on the left using the distributive property. Multiply both sides by x. Rewrite the expression on the left using subtraction. Divide both sides by x.

Answer 1

Answer:

A on Edg 2020

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Give the expression ax – c = bx + d, we are isolate x i.e we are to make x the subject of the formula.

ax – c = bx + d

Step 1: subtract bx from both sides

ax – c = bx + d

ax-bx = d+c

Step 2: Factor out x in the left hand side of the resulting expression

x(a-b) = d+c

Step 3: Divide both sides by the coefficient of i.e (a-b)

$\frac{x(a-b)}{a-b} = \frac{d+c}{a-b}$

$x = \frac{d+c}{a-b}$

Hence Victoria can justify the step 3 of her work by dividing both sides of the expression in 2 by a-b