Algebra Examples

$2 x - y = 4$ $- 8 x + 4 y = - 16$ $(4, 5)$

Step 1

Simplify $2 (4) - (5)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply $2$ by $4$ .

$8 - (5) = 4$

$- 8 \cdot 4 + 4 (5) = - 16$

Step 1.1.2

Multiply $- 1$ by $5$ .

$8 - 5 = 4$

$- 8 \cdot 4 + 4 (5) = - 16$

$8 - 5 = 4$

$- 8 \cdot 4 + 4 (5) = - 16$

Step 1.2

Subtract $5$ from $8$ .

$3 = 4$

$- 8 \cdot 4 + 4 (5) = - 16$

$3 = 4$

$- 8 \cdot 4 + 4 (5) = - 16$

Step 2

Since $3 \neq 4$ , there are no solutions.

No solution

Step 3

Simplify $- 8 \cdot 4 + 4 (5)$ .

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Step 3.1

Simplify each term.

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Step 3.1.1

Multiply $- 8$ by $4$ .

$- 32 + 4 (5) = - 16$

No solution

Step 3.1.2

Multiply $4$ by $5$ .

$- 32 + 20 = - 16$

No solution

$- 32 + 20 = - 16$

No solution

Step 3.2

Add $- 32$ and $20$ .

$- 12 = - 16$

No solution

No solution

Step 4

Since $- 12 \neq - 16$ , there are no solutions.

No solution

Step 5

The ordered pair is not a solution to the system of equations.

$(4, 5)$ is not a solution

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$