i need the answers to this. Help is needed.

Question

Determine the solution of each system of linear equations. The algebraic and graphical representations are shown.

1.                                                                              B.

                

          Solution: ______________________                          Solution: ___________________

Answer 1

first problem: x=2, y=4

2nd" x=0, y=6

x=y-2

2y-4+y=8

3y=12

y = 12/3 = 4

x = y-2 = 4-2 = 2

y=2x+6

4x-4x-12 = -12

x=0

y = 2(0)+6=6

Answer 2

The solution set for the 1st set of equations is the point where the lines intersect (2, 4)

Check each for your assurance:

I rewrote each equation for y:

y = x + 2 AND y = -2x + 8

If you plug the x value (2) for the common point, the value of y (4) is the answer

4 = 2 + 2 CHECK AND 4 = -2(2) + 8 CHECK

For the 2nd set of lines, If you rewrote them in the slope-intercept form (y = mx +b) you will see that its the same equation...TRY IT :)

y = 2x + 6

The solution set for those equation(s) can be the y-intercept (0, 6) or any point on the line really.

Check (0, 6); 6 = 2(0) + 6, 6 = 6 CHECK

Hope this helps