Answer:
(41/5, 6/5)
Step-by-step explanation:
2x+-2y=14
x+4y=13
You can multiply the first equation by 2 so you can eliminate the y:
2(2x+-2y=14)
4x+-4y=28
Then you can set up both equations to be added together:
4x+-4y=28
+ x+4y=13
5x=41
x=41/5
Then you can substitute 41/5 for x in the original equation:
x+4y=13
41/5+4y=13
5(41/5+4y)=5(13)
41+20y=65
20y=24
y=24/20
y=6/5
Check:
2x+-2y=14
2(41/5)+-2(6/5)=14
82/5+-12/5=14
70/5=14
14=14
