Solve the System of Equations y=5x+2 4x-y=0

$y = 5 x + 2$ $4 x - y = 0$

Step 1

Replace all occurrences of $y$ with $5 x + 2$ in each equation.

Replace all occurrences of $y$ in $4 x - y = 0$ with $5 x + 2$ .

$4 x - (5 x + 2) = 0$

$y = 5 x + 2$

Simplify the left side.

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

Simplify each term.

Apply the distributive property.

$4 x - (5 x) - 1 \cdot 2 = 0$

$y = 5 x + 2$

Multiply $5$ by $- 1$ .

$4 x - 5 x - 1 \cdot 2 = 0$

$y = 5 x + 2$

Multiply $- 1$ by $2$ .

$4 x - 5 x - 2 = 0$

$y = 5 x + 2$

$4 x - 5 x - 2 = 0$

$y = 5 x + 2$

Subtract $5 x$ from $4 x$ .

$- x - 2 = 0$

$y = 5 x + 2$

$- x - 2 = 0$

$y = 5 x + 2$

$- x - 2 = 0$

$y = 5 x + 2$

$- x - 2 = 0$

$y = 5 x + 2$

Step 2

Solve for $x$ in $- x - 2 = 0$ .

Add $2$ to both sides of the equation.

$- x = 2$

$y = 5 x + 2$

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

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

$\frac{- x}{- 1} = \frac{2}{- 1}$

$y = 5 x + 2$

Simplify the left side.

Dividing two negative values results in a positive value.

$\frac{x}{1} = \frac{2}{- 1}$

$y = 5 x + 2$

Divide $x$ by $1$ .

$x = \frac{2}{- 1}$

$y = 5 x + 2$

$x = \frac{2}{- 1}$

$y = 5 x + 2$

Simplify the right side.

Divide $2$ by $- 1$ .

$x = - 2$

$y = 5 x + 2$

$x = - 2$

$y = 5 x + 2$

$x = - 2$

$y = 5 x + 2$

$x = - 2$

$y = 5 x + 2$

Step 3

Replace all occurrences of $x$ with $- 2$ in each equation.

Replace all occurrences of $x$ in $y = 5 x + 2$ with $- 2$ .

$y = 5 (- 2) + 2$

$x = - 2$

Simplify the right side.

Simplify $5 (- 2) + 2$ .

Multiply $5$ by $- 2$ .

$y = - 10 + 2$

$x = - 2$

Add $- 10$ and $2$ .

$y = - 8$

$x = - 2$

$y = - 8$

$x = - 2$

$y = - 8$

$x = - 2$

$y = - 8$

$x = - 2$

Step 4

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

$(- 2, - 8)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(- 2, - 8)$

Equation Form:

$x = - 2, y = - 8$

Step 6

Solve the System of Equations y=5x+2 4x-y=0

Related Questions

Support LCMGCF.com by disabling your adblocker.