Question

SYSTEM OF LINEAR EQUATIONS

x-y=11
2x+y=19

-6+5y=1
6x+4y=-10

2x+9y=25
-4x-9y=-23

Answer 1

x = 10 y = -1

x = − 13/5 y = 7/5

x = -1 y = 3

Explanation:

Answer 2

Explanation:

x-y=11

2x+y=19

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x=y+11

2(y+11)+y=19

2y+22+y=19

3y+22=19

3y=19-22

3y=-3

y=-3/3

y=-1

x-(-1)=11

x+1=11

x=11-1

x=10

Answer: x=10, y=-1. (10, -1).

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-6x+5y=1

6x+4y=-10

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9y=-9

y=-9/9

y=-1

6x+4(-1)=-10

6x-4=-10

6x=-10+4

6x=-6

x=-6/6

x=-1

Answer: x=-1, y=-1. (-1, -1).

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2x+9y=25

-4x-9y=-23

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-2x=2

x=2/-2

x=-1

2(-1)+9y=25

-2+9y=25

9y=25-(-2)

9y=25+2

9y=27

y=27/9

y=3

Answer: x=-1, y=3. (-1, 3).