Finite Math Examples

$x = 4$ , $y = - 3$ , $4 x - 5 y = 2$

Step 1

Replace all occurrences of $x$ with $4$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $4 x - 5 y = 2$ with $4$ .

$4 (4) - 5 y = 2$

$x = 4$

$y = - 3$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $4$ by $4$ .

$16 - 5 y = 2$

$x = 4$

$y = - 3$

$16 - 5 y = 2$

$x = 4$

$y = - 3$

$16 - 5 y = 2$

$x = 4$

$y = - 3$

Step 2

Replace all occurrences of $y$ with $- 3$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $16 - 5 y = 2$ with $- 3$ .

$16 - 5 \cdot - 3 = 2$

$x = 4$

$y = - 3$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $16 - 5 \cdot - 3$ .

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Step 2.2.1.1

Multiply $- 5$ by $- 3$ .

$16 + 15 = 2$

$x = 4$

$y = - 3$

Step 2.2.1.2

Add $16$ and $15$ .

$31 = 2$

$x = 4$

$y = - 3$

$31 = 2$

$x = 4$

$y = - 3$

$31 = 2$

$x = 4$

$y = - 3$

$31 = 2$

$x = 4$

$y = - 3$

Step 3

Since $31 = 2$ is not true, there is no solution.

No solution

Step 4