Solve y mapsto c^ 2 -11x-36; y = - 72x + 36 | 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

$$y\mapsto c^{2}-11x-36; y=-72x+36$$

Solve for y, x

$x=0$
$y=-36$

Solution Steps

Consider the first equation. Subtract $x^{2}$ from both sides.

$$y-x^{2}=-11x-36$$

Add $11x$ to both sides.

$$y-x^{2}+11x=-36$$

Consider the second equation. Add $12x$ to both sides.

$$y+12x=y$$

Subtract $y$ from both sides.

$$y+12x-y=0$$

Combine $y$ and $-y$ to get $0$.

$$12x=0$$

Divide both sides by $12$. Zero divided by any non-zero number gives zero.

$$x=0$$

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

$$y-0^{2}+11\times 0=-36$$

Calculate $0$ to the power of $2$ and get $0$.

$$y-0+11\times 0=-36$$

Multiply $-1$ and $0$ to get $0$.

$$y+0+11\times 0=-36$$

Multiply $11$ and $0$ to get $0$.

$$y+0+0=-36$$

Add $0$ and $0$ to get $0$.

$$y=-36$$

The system is now solved.

$$y=-36$$ $$x=0$$