Question

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 7x+7y=7 x+2y=2

Answer 1

7x+7y=7
x+2y=2

You want them to be where when you add them, a variable will cancel out so you can solve for the other.

multiply top one by 2
14x+14y=14

multiply bottom one by -7
-7x-14y=-14

so you have:
14x+14y=14
-7x-14y=-14

when you add the equations together, the y cancels out.

7x=0

solve for x

Answer 2

x=0

plug x into one of the original equations to solve for y

0+2y=2
y=1

so your solution would be (0, 1)