Algebra Examples

$2 x + y = - 10$ $- y = 2 x + 10$

Step 1

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

$2 x + y = - 10, - y - 2 x = 10$

Step 2

Reorder the polynomial.

$- 2 x - y = 10$

$2 x + y = - 10$

Step 3

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

Step 4

Since $0 = 0$ , the equations intersect at an infinite number of points.

Infinite number of solutions

Step 5

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

$y = - 10 - 2 x$

Step 6

The solution is the set of ordered pairs that make $y = - 10 - 2 x$ true.

$(x, - 10 - 2 x)$

Step 7

The result can be shown in multiple forms.

Point Form:

$(x, - 10 - 2 x)$

Equation Form:

$x = x, y = - 10 - 2 x$

Step 8