벼락치기 규칙 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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Solve by:

Solve by Cramer's rule

Solve by substitution

Solve by elimination

Solve by Gaussian elimination

One step at a time

[

5x+3y=7

3x−5y=−23

]

Matrix of Coefficients

M=(

5	3
3	−5

)

Answers column:

(

−23

)

Replace the x-column values with the answer-column values

M_x=(

7	3
−23	−5

)

Replace the y-column values with the answer-column values

M_y=(

5	7
3	−23

)

D=−34

D_x=34

D_y=−136

Solve by using Cramer Rule

x=D_xD , y=D_yD , z=D_zD

D denotes the determinant

x=D_xD =34−34

Simplify

x=−1

y=D_yD =−136−34

Simplify

y=4

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`

벼락치기 규칙 5x+3y=7, 3x-5y=-23

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