Algebra Examples

$2 x - y = 23$ $x - 9 = - 1$

Step 1

Subtract $2 x$ from both sides of the equation.

$- y = 23 - 2 x$

$x - 9 = - 1$

Step 2

Divide each term in $- y = 23 - 2 x$ by $- 1$ and simplify.

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Step 2.1

Divide each term in $- y = 23 - 2 x$ by $- 1$ .

$\frac{- y}{- 1} = \frac{23}{- 1} + \frac{- 2 x}{- 1}$

$x - 9 = - 1$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

$\frac{y}{1} = \frac{23}{- 1} + \frac{- 2 x}{- 1}$

$x - 9 = - 1$

Step 2.2.2

Divide $y$ by $1$ .

$y = \frac{23}{- 1} + \frac{- 2 x}{- 1}$

$x - 9 = - 1$

$y = \frac{23}{- 1} + \frac{- 2 x}{- 1}$

$x - 9 = - 1$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $23$ by $- 1$ .

$y = - 23 + \frac{- 2 x}{- 1}$

$x - 9 = - 1$

Step 2.3.1.2

Move the negative one from the denominator of $\frac{- 2 x}{- 1}$ .

$y = - 23 - 1 \cdot (- 2 x)$

$x - 9 = - 1$

Step 2.3.1.3

Rewrite $- 1 \cdot (- 2 x)$ as $- (- 2 x)$ .

$y = - 23 - (- 2 x)$

$x - 9 = - 1$

Step 2.3.1.4

Multiply $- 2$ by $- 1$ .

$y = - 23 + 2 x$

$x - 9 = - 1$

$y = - 23 + 2 x$

$x - 9 = - 1$

$y = - 23 + 2 x$

$x - 9 = - 1$

$y = - 23 + 2 x$

$x - 9 = - 1$

Step 3

Move all terms not containing $x$ to the right side of the equation.

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Step 3.1

Add $9$ to both sides of the equation.

$x = - 1 + 9$

$y = - 23 + 2 x$

Step 3.2

Add $- 1$ and $9$ .

$x = 8$

$y = - 23 + 2 x$

$x = 8$

$y = - 23 + 2 x$

Step 4

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

$(8, - 7)$

Step 5