Solve the System of Equations y=-5x+1 y=1-5x

$y = - 5 x + 1$ $y = 1 - 5 x$

Eliminate the equal sides of each equation and combine.

$- 5 x + 1 = 1 - 5 x$

Solve $- 5 x + 1 = 1 - 5 x$ for $x$ .

Move all terms containing $x$ to the left side of the equation.

Add $5 x$ to both sides of the equation.

$- 5 x + 1 + 5 x = 1$

Combine the opposite terms in $- 5 x + 1 + 5 x$ .

Add $- 5 x$ and $5 x$ .

$0 + 1 = 1$

Add $0$ and $1$ .

$1 = 1$

Since $1 = 1$ , the equation will always be true.

Always true

The result can be shown in multiple forms.

Always true

Interval Notation:

$(- \infty, \infty)$