Question

2. Select the three (3) equations that are equivalent to the equation

X-0.10x+2.5 = 45.5
Show how you determined your answers.
A. 0.90x+2.5=45
B. 0.90x=43
C.0.90x=45.5
D. 1.10x+2.5=45.5
E. 2(x-0.10x+2.5)=91

Answer 1

B. 0.90x=43

E.2(x-0.10x+2.5)=91

Explanation:

Given equation:

x-0.10x+2.5 = 45.5

Let us simplify this;

Collect like terms;

x - 0.10x = 45.5 - 2.5

Simplify;

0.9x = 43 (Option A)

Also;

x-0.10x+2.5 = 45.5

Simplify by multiplying both sides by 2;

2(x - 0.10x + 2.5) = 2(45.5)

2(x - 0.10x + 2.5) = 91.0

Also;

x-0.10x+2.5 = 45.5

0.9x + 2.5 = 45.5

Those are the three scenarios