Solve by Addition/Elimination -9x+y=10 10x-y=-9

$- 9 x + y = 10$ $10 x - y = - 9$

Step 1

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

Step 2

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

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

$- 9 \cdot 1 + y = 10$

Multiply $- 9$ by $1$ .

$- 9 + y = 10$

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

Add $9$ to both sides of the equation.

$y = 10 + 9$

Add $10$ and $9$ .

$y = 19$

Step 3

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

$(1, 19)$

Step 4

The result can be shown in multiple forms.

Point Form:

$(1, 19)$

Equation Form:

$x = 1, y = 19$

Step 5