Algebra Examples

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

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 $y$ .

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Step 2.1

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

$- 9 \cdot 1 + y = 10$

Step 2.2

Multiply $- 9$ by $1$ .

$- 9 + y = 10$

Step 2.3

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

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Step 2.3.1

Add $9$ to both sides of the equation.

$y = 10 + 9$

Step 2.3.2

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