116k views
15 votes
4x+3y=2
2x+y=6
substitution

User Hilo
by
6.5k points

2 Answers

8 votes

Answer:

x=8 y=-26/3

Explanation:

2x+y=6

2x=6-y

2x-6=-y

-2x+6=y

4x+3(-2x+6)=2

4x-6x+18=2

4x-6x+16=0

-2x+16=0

-2(x-8)=0

x-8=0

x=8

4(8)+3y=6

32+3y=6

26+3y=0

3y=-26

y=-26/3

User Nate Kimball
by
6.4k points
8 votes

Answer:

(8,-10)

Explanation:

4x+3y=2

2x+y=6--->y=-2x+6

4x+3(-2x+6)=2

4x-6x+18=2

-2x=-16

x=8

4(8)+3y=2

32+3y=2

3y=-30

y=-10

User Shanti K
by
7.2k points
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