Algebra Examples

$(x + 3) - y = 4$ , $x - 4 y = 10$ , $(- 2, - 3)$

Step 1

Simplify $((- 2) + 3) - (- 3)$ .

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Step 1.1

Multiply $- 1$ by $- 3$ .

$(- 2) + 3 + 3 = 4$

$(- 2) - 4 \cdot - 3 = 10$

Step 1.2

Add $- 2$ and $3$ .

$1 + 3 = 4$

$(- 2) - 4 \cdot - 3 = 10$

Step 1.3

Add $1$ and $3$ .

$4 = 4$

$(- 2) - 4 \cdot - 3 = 10$

$4 = 4$

$(- 2) - 4 \cdot - 3 = 10$

Step 2

Since $4 = 4$ , the equation will always be true.

Always true

$(- 2) - 4 \cdot - 3 = 10$

Step 3

Simplify $(- 2) - 4 \cdot - 3$ .

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Step 3.1

Multiply $- 4$ by $- 3$ .

$- 2 + 12 = 10$

Always true

Step 3.2

Add $- 2$ and $12$ .

$10 = 10$

Always true

$10 = 10$

Always true

Step 4

Since $10 = 10$ , the equation will always be true.

Always true

Step 5

The ordered pair is a solution to the system of equations.

$(- 2, - 3)$ is a solution