Question

5

x
+
2
y
=
26
3
x
+
2
y
=
14

Answer 1

x=6

y=-2

Explanation:

5x+2y=26

3x+2y=14

subtract

2x=12

x=12/2=6

3(6)+2y=14

2y=14-18=-4

y=-4/2=-2

Answer 2

x = 6, y =-2

Explanation:

5x+2y = 26

3x+2y = 14

Subtract the two equations to eliminate y

5x+2y = 26

-3x-2y = -14

---------------------

2x = 12

Divide by 2

2x/2 = 12/2

x = 6

Now find y

3x+2y = 14

3*6+2y = 14

18+2y = 14

Subtract 18 from each side

18+2y-18 =14-18

2y = -4

Divide by 2

2y/2 = -4/2

y = -2