Solve 6 = y/1.5; 17 + 6p = 9 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$1.6=\frac{y}{1.5}; 17+6p=9$$

Solve for y, p

$y=2.4$
$p = -\frac{4}{3} = -1\frac{1}{3} \approx -1.333333333$

Solution Steps

Consider the first equation. Multiply both sides by $1.5$.

$$1.6\times 1.5=y$$

Multiply $1.6$ and $1.5$ to get $2.4$.

$$2.4=y$$

Swap sides so that all variable terms are on the left hand side.

$$y=2.4$$

Consider the second equation. Subtract $17$ from both sides.

$$6p=9-17$$

Subtract $17$ from $9$ to get $-8$.

$$6p=-8$$

Divide both sides by $6$.

$$p=\frac{-8}{6}$$

Reduce the fraction $\frac{-8}{6}$ to lowest terms by extracting and canceling out $2$.

$$p=-\frac{4}{3}$$

The system is now solved.

$$y=2.4$$ $$p=-\frac{4}{3}$$