Solve x=2y,y=(2)((1)/(2)),z=2y+2x | 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

$$x=2y,y= 2 \frac { 1 } { 2 } ,z=2y+2x$$

Solve for x, y, z

$x=5$
$y = \frac{5}{2} = 2\frac{1}{2} = 2.5$
$z=15$

Solution Steps

Consider the second equation. Multiply $2$ and $2$ to get $4$.

$$y=\frac{4+1}{2}$$

Add $4$ and $1$ to get $5$.

$$y=\frac{5}{2}$$

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

$$x=2\times \frac{5}{2}$$

Multiply $2$ and $\frac{5}{2}$ to get $5$.

$$x=5$$

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

$$z=2\times \frac{5}{2}+2\times 5$$

Multiply $2$ and $\frac{5}{2}$ to get $5$.

$$z=5+2\times 5$$

Multiply $2$ and $5$ to get $10$.

$$z=5+10$$

Add $5$ and $10$ to get $15$.

$$z=15$$

The system is now solved.

$$x=5$$ $$y=\frac{5}{2}$$ $$z=15$$