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1 vote
1 vote
(b) 6x-7 y = 25
15x+3y = 42

User Nyg
by
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1 Answer

24 votes
24 votes

Answer:

x=3

y= -1

Explanation:

with 1 equation you can solve for 1 variable. With 2 equations you can solve for 2 variables. This is solvable.

6x-7y = 25

15x+3y = 42

first simplify to make easier to work with

6x-7y = 25 can not be factored further

15x+3y = 42 can be divided by 3 on both sides

5x+y = 14

----- then you have

6x-7y = 25

5x+y = 14

solve by substitution:

isolate y in second equation

5x+y = 14 ----> y= 14-5x

put y into first equation

6x-7(14-5x) = 25

6x- 98 --35x =25

6x- 98 +35x =25

41x =123

x=3

to get y, substitute x into equation

5x+y = 14

5(3) +y=14

15+y=14

y=-1

hope this helps !

User Zohar Levin
by
2.7k points