Solve y = 2x + 5; y = 5, x - 6 | 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

$$y=2x+5; y=5,x-6$$

Solve for y, x, z

$z=-6$

Solution Steps

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

$$5=2x+5$$

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

$$2x+5=5$$

Subtract $5$ from both sides.

$$2x=5-5$$

Subtract $5$ from $5$ to get $0$.

$$2x=0$$

Divide both sides by $2$. Zero divided by any non-zero number gives zero.

$$x=0$$

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

$$z=0-6$$

Subtract $6$ from $0$ to get $-6$.

$$z=-6$$

The system is now solved.

$$y=5$$ $$x=0$$ $$z=-6$$