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5x+3y=7, 3x-5y=-23

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5x+3y=7, 3x−5y=−23

Solution

x=−1, y=4

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[

5x+3y=7

3x−5y=−23

]

Isolate x for 5x+3y=7: x=7−3y5

Substitute x=7−3y5

[

3· 7−3y5 −5y=−23

]

Simplify

[

21−34y5 =−23

]

Isolate y for 21−34y5 =−23: y=4

For x=7−3y5

Substitute y=4

x=7−3· 45

7−3· 45 =−1

x=−1

The solutions to the system of equations are:

x=−1, y=4

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

5x+3y=7, 3x-5y=-23

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