Question

Solve the linear system using elimination.
x+y=2
2x+7y=9

Answer 1

you can multiply the first equation times -2, and add the equations.

Answer 2

so -2x-2y=-4
2x=7y=9

Answer 3

yes, correct

-2x -2y = -4
2x + 7y = 9

Answer 4

Now, add them.

Answer 5

y=1

Answer 6

Yes, that was quick!

Answer 7

And then plug y=1 into one of the original equations

Answer 8

and solve for x.

Answer 9

x=1

Answer 10

Yes, fabulous!

Answer 11

So your solution is:
x=1 and y=1

or, that could be recorded as a point, (1,1)

Answer 12

Thank you! Could you help me with a couple or so more?

Answer 13

Hopefully I will have time. Will see how it goes:)

Answer 14

3x-2y=3
-x+y=1