Finite Math Examples

$x = 2$ , $y = 1$ , $3 x - y = - 1$

Step 1

Replace all occurrences of $x$ with $2$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $3 x - y = - 1$ with $2$ .

$3 (2) - y = - 1$

$x = 2$

$y = 1$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $3$ by $2$ .

$6 - y = - 1$

$x = 2$

$y = 1$

$6 - y = - 1$

$x = 2$

$y = 1$

$6 - y = - 1$

$x = 2$

$y = 1$

Step 2

Replace all occurrences of $y$ with $1$ in each equation.

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Step 2.1

Replace all occurrences of $y$ in $6 - y = - 1$ with $1$ .

$6 - (1) = - 1$

$x = 2$

$y = 1$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $6 - (1)$ .

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Step 2.2.1.1

Multiply $- 1$ by $1$ .

$6 - 1 = - 1$

$x = 2$

$y = 1$

Step 2.2.1.2

Subtract $1$ from $6$ .

$5 = - 1$

$x = 2$

$y = 1$

$5 = - 1$

$x = 2$

$y = 1$

$5 = - 1$

$x = 2$

$y = 1$

$5 = - 1$

$x = 2$

$y = 1$

Step 3

Since $5 = - 1$ is not true, there is no solution.

No solution

Step 4