substitution 1/2 x+1/7 y=4, 1/6 x-2/7 y=-1

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12 x+17 y=4, 16 x−27 y=−1

Solution

x=6, y=7

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Solve by:

Solve by substitution

Solve by elimination

Solve by Cramer's rule

Solve by Gaussian elimination

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[

12 x+17 y=4

16 x−27 y=−1

]

Isolate x for 12 x+17 y=4: x=8−27 y

Substitute x=8−27 y

[

16 (8−27 y)−27 y=−1

]

Simplify

[

4−y3 =−1

]

Isolate y for 4−y3 =−1: y=7

For x=8−27 y

Substitute y=7

x=8−27 · 7

8−27 · 7=6

x=6

The solutions to the system of equations are:

x=6, y=7

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

substitution 1/2 x+1/7 y=4, 1/6 x-2/7 y=-1

Solution

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