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17 votes
17 votes
Find the solution for x and y

Find the solution for x and y-example-1
User Dhruv Jindal
by
2.4k points

2 Answers

22 votes
22 votes

Answer:

Below

Explanation:

Here is how to solve this by elimination

Divide both sides by 3

-7x - 2y = 14

2x + 2y = 6

Eliminate one variable by adding the equations

-5x = 20

Divide both sides by -5

x = -4

Sub in x to -7x -2y = 14

-7x (-4) -2y = 14

y = 7

So, ( x, y ) --> ( - 4, 7 )

Hope this helps! Best of luck <3

User Mistrmark
by
3.3k points
21 votes
21 votes


\{-7x-2y=14 \ \ /\cdot3\\\{6x+6y=18\\\\\{-21x-6y=42\\+\{6x+6y=18\\---------\\\\-15x=60 \ \ /:(-15)\\\\\huge\boxed{x=-4}\\\\6\cdot(-4)+6y=18\\\\-24+6y=18 \ \ /+24\\\\6y=42 \ \ /:6\\\\\huge\boxed{y=7}

User Ramanpreet Singh
by
2.7k points