math solving problems?

Question

okay so we have two equations x+y=1 and 2x-2y=6

how would you solve that then graph

directions read Solve by graphing then check algebraically

we have to give a point like ( 0, 0 ) then graph them


EXAMPLE:

x+y=4
2x-y=5

and the answer is 3,1

how do i graph each

Answer 1

Each is a straight line: y=mx+b.

y=-x+1 and y=x-3

Graph the lines, the intersection is at the point (2,-1).

Check by combining the equations.
-x+1=x-3
2x=4, x=2
y=-1

Answer 2

So basically you want a point that satisfies both equations?
so solve them together: ;Multiply the first eqn by -2 and add it to second eqn:
(-2x-2y=-2) + (2x -2y=6) = -4y =4, so y = -1, Now plug y =-1 into one of your original equations: x + -1 = 1; x=2, Now plug both x and y into second eqn so you make sure the answer isn't an extraneous solution: 2 *(2) - 2* (-1) = 6 and it works because 4 + 2 =6, your point is (2,-1)

Answer 3

you have to get it in y=mx+b form. first once you find b (y intercept) plot that point then use the slope (m) from there