Question

Solve the given system of equations. Check your solution.

y = 1/2x + 4
2y + 2x = 2

Answer 1

you can substitute the first equation directly into the second so
2(1/2x+4) +2x =2
distribute the 2 so
x+8+2x=2 and solve for x from there

Answer 2

then once you have a value for x you can put it into either equation to solve for y

Answer 3

so is it 3,2

Answer 4

to check if your values are right put the x and y values you obtained into either equation and if they are right then the equation will be true
continuing the equation above
x+2x=2-8
3x=-6

Answer 5

so x =-2

Answer 6

so -2,3

Answer 7

can you find y from there

Answer 8

y=3

Answer 9

yes :) and see if you plug x=-2 and y=3 into either equation it proves true, which is how you check your answer

Answer 10

thanks