Algebra Examples

$2 x + y = 4$ , $x - 1 = 0$

Step 1

Add $1$ to both sides of the equation.

$x = 1$

$2 x + y = 4$

Step 2

Replace all occurrences of $x$ with $1$ in each equation.

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Step 2.1

Replace all occurrences of $x$ in $2 x + y = 4$ with $1$ .

$2 (1) + y = 4$

$x = 1$

Step 2.2

Simplify the left side.

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Step 2.2.1

Multiply $2$ by $1$ .

$2 + y = 4$

$x = 1$

$2 + y = 4$

$x = 1$

$2 + y = 4$

$x = 1$

Step 3

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

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Step 3.1

Subtract $2$ from both sides of the equation.

$y = 4 - 2$

$x = 1$

Step 3.2

Subtract $2$ from $4$ .

$y = 2$

$x = 1$

$y = 2$

$x = 1$

Step 4

Solve the system of equations.

$y = 2 x = 1$

Step 5

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

$(1, 2)$

Step 6

The result can be shown in multiple forms.

Point Form:

$(1, 2)$

Equation Form:

$x = 1, y = 2$

Step 7