Algebra Examples

$(3, 4)$ , $x + y = 7$ $x - 2 y = - 5$

Step 1

Add $3$ and $4$ .

$7 = 7$

$(3) - 2 \cdot 4 = - 5$

Step 2

Since $7 = 7$ , the equation will always be true.

Always true

$(3) - 2 \cdot 4 = - 5$

Step 3

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

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Step 3.1

Multiply $- 2$ by $4$ .

$3 - 8 = - 5$

Always true

Step 3.2

Subtract $8$ from $3$ .

$- 5 = - 5$

Always true

$- 5 = - 5$

Always true

Step 4

Since $- 5 = - 5$ , the equation will always be true.

Always true

Step 5

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

$(3, 4)$ is a solution