Pre-Algebra Examples

$3 x + y = 6$ , $x = - 7$ , $y = 4$

Step 1

Replace all occurrences of $x$ with $- 7$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $3 x + y = 6$ with $- 7$ .

$3 (- 7) + y = 6$

$x = - 7$

$y = 4$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $3$ by $- 7$ .

$- 21 + y = 6$

$x = - 7$

$y = 4$

$- 21 + y = 6$

$x = - 7$

$y = 4$

$- 21 + y = 6$

$x = - 7$

$y = 4$

Step 2

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

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Step 2.1

Replace all occurrences of $y$ in $- 21 + y = 6$ with $4$ .

$- 21 + 4 = 6$

$x = - 7$

$y = 4$

Step 2.2

Simplify the left side.

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Step 2.2.1

Simplify $- 21 + 4$ .

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Step 2.2.1.1

Remove parentheses.

$- 21 + 4 = 6$

$x = - 7$

$y = 4$

Step 2.2.1.2

Add $- 21$ and $4$ .

$- 17 = 6$

$x = - 7$

$y = 4$

$- 17 = 6$

$x = - 7$

$y = 4$

$- 17 = 6$

$x = - 7$

$y = 4$

$- 17 = 6$

$x = - 7$

$y = 4$

Step 3

Since $- 17 = 6$ is not true, there is no solution.

No solution

Step 4