Algebra Examples

$x = 5$ $2 x + y = 10$

Step 1

Replace all occurrences of $x$ with $5$ in each equation.

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Step 1.1

Replace all occurrences of $x$ in $2 x + y = 10$ with $5$ .

$2 (5) + y = 10$

$x = 5$

Step 1.2

Simplify the left side.

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Step 1.2.1

Multiply $2$ by $5$ .

$10 + y = 10$

$x = 5$

$10 + y = 10$

$x = 5$

$10 + y = 10$

$x = 5$

Step 2

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

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Step 2.1

Subtract $10$ from both sides of the equation.

$y = 10 - 10$

$x = 5$

Step 2.2

Subtract $10$ from $10$ .

$y = 0$

$x = 5$

$y = 0$

$x = 5$

Step 3

Solve the system of equations.

$y = 0 x = 5$

Step 4

The solution to the system is the complete set of ordered pairs that are valid solutions.

$(5, 0)$

Step 5

The result can be shown in multiple forms.

Point Form:

$(5, 0)$

Equation Form:

$x = 5, y = 0$

Step 6