substitution 12x+13y=9, 15x-23y=6

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(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

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12x+13y=9, 15x−23y=6

Solution

x=95157 , y=21157

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Solve by substitution

Solve by elimination

Solve by Cramer's rule

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[

12x+13y=9

15x−23y=6

]

Isolate x for 12x+13y=9: x=9−13y12

Substitute x=9−13y12

[

15· 9−13y12 −23y=6

]

Simplify

[

−157y+454 =6

]

Isolate y for −157y+454 =6: y=21157

For x=9−13y12

Substitute y=21157

x=9−13· 21157 12

9−13· 21157 12 =95157

x=95157

The solutions to the system of equations are:

x=95157 , y=21157

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

substitution 12x+13y=9, 15x-23y=6

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