Question

Please help me with how to solve this with steps. y=−x+2 y=3x−4

Answer 1

Answer:

x=2

Step-by-step explanation:

y=-x+2

y=3x−4

multiply the top by three so it matches the bottom so:

y=-3x+6

y=3x−4

then solve for y by adding the two equations together so:

y=2

then plug y=2 into any of the two original equations so:

2=-x+2 or 2=3x-4

then solve for x (i will be solving the second one)

2=3x-4

add 4 to both sides

6=3x

divide by 3 on both sides so:

x=2

Answer 2

Answer:

Well you can solve this a lot of ways but this one is easy with substitution. The answer is (7/6,1/2)

Step-by-step explanation:

Make one of the equations equal to x -

y=-x+2 can be converted to x=-y+2

Then substitute that into the second equation.

y=3(-y+2)-4

then simplify

y=-3y+6-4

y=-3y+2

add 3y to both sides to eliminate the -3y

4y=2

then simplify again.

y=1/2

Last step: plug in 1/2 as y in either equation and simplify to get x.

1/2=3x-4

You should get x=7/6

the answer is (7/6,1/2)