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16 votes
Solve the system of equations using subtraction.

2x - 3y = -5
2x + y = 7
The solution is . (Type an ordered pair.)

User Gaven
by
8.1k points

2 Answers

9 votes

Answer:


y=3\\x=2\\

Explanation:


(2x-3y)-(2x+7)\\=-4y=(-5)-(7)\\-4y=-12\\y=12/4\\y=3

Insert y=3 into any one equation in the system of equations:


2x-3(3)=-5\\2x-9=-5\\2x=4\\x=4/2\\x=2

or


2x+(3)=7\\2x=4\\x=4/2\\x=2

User Tomeka
by
8.5k points
7 votes

Answer:

x = 2 and y = 3

Explanation:

given:

  • 2x - 3y = -5
  • 2x + y = 7

using elimination rule:

2x - 3y = -5

- 2x - y = - 7

................................

-4y = -12

y = 3

Find x:

2x - 3y = -5

2x - 3(3) = -5

2x - 9 = -5

2x = - 5+9

2x = 4

x = 2

User Ben Mayo
by
8.0k points

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