Question

2x+-2y=14
x+4y=13
Elimination Method to Solve Linear Equations

Answer 1

(41/5, 6/5)

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