Algebra Examples

y = - 2 x + 5

$y = - 2 x + 5$

2 x + y = 5

$2 x + y = 5$

Step 1

Replace all occurrences of

y

$y$ with

- 2 x + 5

$- 2 x + 5$ in each equation.

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Step 1.1

Replace all occurrences of

y

$y$ in

2 x + y = 5

$2 x + y = 5$ with

- 2 x + 5

$- 2 x + 5$ .

2 x - 2 x + 5 = 5

$2 x - 2 x + 5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

Step 1.2

Simplify the left side.

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Step 1.2.1

Simplify

2 x - 2 x + 5

$2 x - 2 x + 5$ .

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Step 1.2.1.1

Remove parentheses.

2 x - 2 x + 5 = 5

$2 x - 2 x + 5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

Step 1.2.1.2

Subtract

2 x

$2 x$ from

2 x

$2 x$ .

0 + 5 = 5

$0 + 5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

Step 1.2.1.3

Add

0

$0$ and

5

$5$ .

5 = 5

$5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

5 = 5

$5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

5 = 5

$5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

5 = 5

$5 = 5$

y = - 2 x + 5

$y = - 2 x + 5$

Step 2

Remove any equations from the system that are always true.

y = - 2 x + 5

$y = - 2 x + 5$

Step 3