Algebra Examples

$y = x - 1$ $2 x - y = 0$

Step 1

Subtract $x$ from both sides of the equation.

$y - x = - 1, 2 x - y = 0$

Step 2

Reorder the polynomial.

$- x + y = - 1$

$2 x - y = 0$

Step 3

Add the two equations together to eliminate $y$ from the system.

Step 4

Substitute the value found for $x$ into one of the original equations, then solve for $y$ .

Tap for more steps...

Step 4.1

Substitute the value found for $x$ into one of the original equations to solve for $y$ .

$- (- 1) + y = - 1$

Step 4.2

Multiply $- 1$ by $- 1$ .

$1 + y = - 1$

Step 4.3

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

Tap for more steps...

Step 4.3.1

Subtract $1$ from both sides of the equation.

$y = - 1 - 1$

Step 4.3.2

Subtract $1$ from $- 1$ .

$y = - 2$

Step 5

The solution to the independent system of equations can be represented as a point.

$(- 1, - 2)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(- 1, - 2)$

Equation Form:

$x = - 1, y = - 2$

Step 7