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x+2y=2x-5, x-y=3

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x+2y=2x−5, x−y=3

Solution

x=1, y=−2

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Solve by:

Solve by substitution

Solve by elimination

Solve by Cramer's rule

Solve by Gaussian elimination

One step at a time

[

x+2y=2x−5

x−y=3

]

Isolate x for x−y=3: x=3+y

Substitute x=3+y

[

3+y+2y=2(3+y)−5

]

Simplify

[

3+3y=2y+1

]

Isolate y for 3+3y=2y+1: y=−2

For x=3+y

Substitute y=−2

x=3−2

Simplify

x=1

The solutions to the system of equations are:

x=1, y=−2

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

x+2y=2x-5, x-y=3

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