Question

simultaneous equations.
x-y= 3
2x+y=6.​

Answer 1

Answer:

2x+y=6

x-y=3

Add equations to eliminate y

3x=9

solve for x

x=3

2(3) + y = 6 substitute x and solve for y

6 + y = 6 subtract 6 from both sides

y = 0

x-y=3 Verify with second equation

3-0=3 True (solved x=3 and y=0)  X Intercept point is (0,3)

y=mx+b put both equations into the slope intercept formula to plot

x-y=3

y=x-3        m or slope =1, y intercept is -3

Line runs from (-3,0) to (0,3) 

2x+y=6

y=-2x+6    m = -2  Y intercept is 6

line runs from (6,0) to (0,3)