Question

Solve for x and y:
3x + 2y = 11, 2x + 3y = 4

By elimination method
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Answer 1

(3x+2y=11)2
(2x+3y=4)3

6x+4y=22
-(6x+9y=12)
-5y= 10
y= -2
3x= 11+4
x =15/3
=5

Answer 2

Answer:

x=5, y=(-2)

Step-by-step explanation:

3x + 2y = 11 ______eq.1

2x + 3y = 4 ______eq.2

Multiply eq.1 by 2 and eq.2 by 3, we get

6x + 4y = 22 _____eq.3

6x + 9y = 12 _____eq.4

subtract eq.4 from eq.3,

6x + 4y - 6x - 9y = 22 - 12

-5y = 10

y = -2

substitute y = -2 in eq.2 , we get

2x + 3(-2) = 4

2x - 6 = 4

2x = 10

x = 5