Solve the System of Equations y=5 y=2x+16

$y = 5$ $y = 2 x + 16$

Step 1

Eliminate the equal sides of each equation and combine.

$5 = 2 x + 16$

Step 2

Solve $5 = 2 x + 16$ for $x$ .

Rewrite the equation as $2 x + 16 = 5$ .

$2 x + 16 = 5$

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

Subtract $16$ from both sides of the equation.

$2 x = 5 - 16$

Subtract $16$ from $5$ .

$2 x = - 11$

Divide each term in $2 x = - 11$ by $2$ and simplify.

Divide each term in $2 x = - 11$ by $2$ .

$\frac{2 x}{2} = \frac{- 11}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 x}{2} = \frac{- 11}{2}$

Divide $x$ by $1$ .

$x = \frac{- 11}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$x = - \frac{11}{2}$

Step 3

Evaluate $y$ when $x = - \frac{11}{2}$ .

Substitute $- \frac{11}{2}$ for $x$ .

$y = 2 (- \frac{11}{2}) + 16$

Simplify $2 (- \frac{11}{2}) + 16$ .

Cancel the common factor of $2$ .

Move the leading negative in $- \frac{11}{2}$ into the numerator.

$y = 2 (\frac{- 11}{2}) + 16$

Cancel the common factor.

$y = 2 (\frac{- 11}{2}) + 16$

Rewrite the expression.

$y = - 11 + 16$

Add $- 11$ and $16$ .

$y = 5$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(- \frac{11}{2}, 5)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- \frac{11}{2}, 5)$

Equation Form:

$x = - \frac{11}{2}, y = 5$

Step 6

Solve the System of Equations y=5 y=2x+16

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