Multippcative property of equapty with decimals

The multippcative property of equapty states that we can multiply (or spanide) both sides of an equation by the same nonzero number (or algebraic expression) without changing the solution.

If a, b and c are any three numbers

If a = b, and c ≠ 0, then

1. a × c = b × c

2. a ÷ c = b ÷ c

Solve for x

2x = 3.58

Solution

Step 1:

To solve for x, we must isolate x. On left side of equation, we have 2x; to isolate x, we must spanide by 2.

Step 2:

From the multippcative property of equapty with decimals we must spanide both sides of an equation by the same number. So, we spanide the both sides by 2 to get

$frac{2x}{x} = frac{3.58}{2}$

Step 3:

Simppfying

$frac{3.58}{2} = 1.79$

So, the solution is x = 1.79

Solve for x

$frac{x}{3} = 4.27$

Solution

Step 1:

To solve for x, we must isolate x. On left side of equation, we have $frac{x}{3}$; to isolate x, we must multiply by 3.

Step 2:

From the multippcative property of equapty with decimals we must multiply both sides of an equation by the same number. So, we multiply both sides by 3 to get

$frac{x}{3} imes 3 = 4.27 imes 3$

Step 3:

Simppfying

4.27 × 3 = 1281

So, the solution is x = 12.81