Solve 2x - 1, 9y = 0; x + y = 10000 | 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

$$2x-1,9y=0; x+y=10000$$

Solve for y, x, z

$z=19999$

Solution Steps

Consider the first equation. Divide both sides by $9$. Zero divided by any non-zero number gives zero.

$$y=0$$

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

$$x+0=10000$$

Anything plus zero gives itself.

$$x=10000$$

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

$$z=2\times 10000-1$$

Multiply $2$ and $10000$ to get $20000$.

$$z=20000-1$$

Subtract $1$ from $20000$ to get $19999$.

$$z=19999$$

The system is now solved.

$$y=0$$ $$x=10000$$ $$z=19999$$