Solve x = 24y; 5/5 = 24/5 * y | 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

$$x=24y; \frac{5}{5}=\frac{24}{5}y$$

Solve for x, y

$x=5$
$y=\frac{5}{24}\approx 0.208333333$

Solution Steps

Consider the second equation. Divide $5$ by $5$ to get $1$.

$$1=\frac{24}{5}y$$

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

$$\frac{24}{5}y=1$$

Multiply both sides by $\frac{5}{24}$, the reciprocal of $\frac{24}{5}$.

$$y=1\times \frac{5}{24}$$

Multiply $1$ and $\frac{5}{24}$ to get $\frac{5}{24}$.

$$y=\frac{5}{24}$$

Consider the first equation. Insert the known values of variables into the equation.

$$x=24\times \frac{5}{24}$$

Multiply $24$ and $\frac{5}{24}$ to get $5$.

$$x=5$$

The system is now solved.

$$x=5$$ $$y=\frac{5}{24}$$