## sonja_lee2 3 years ago what is the x-coordinate of the solution of system of equations? 2x-y=6 y=-3x+19

1. JayDS

rearrange the equation of 2x-y=6 into terms of y first.

2. sonja_lee2

so y=-2x+6?

3. JayDS

y=2x+6

4. JayDS

2x-y=6 (bring the y to the right hand side so + y on both sides) and also (bring the six to the left hand side by -6 on both sides) 2x-6=y y=2x-6

5. sonja_lee2

ok

6. JayDS

now, solve both equations

7. JayDS

1) y=2x-6 2) y=-3x+19

8. JayDS

tell me what you get for the x value afterwards.

9. sonja_lee2

how though?

10. JayDS

do you know how to solve for both equations?

11. sonja_lee2

no

12. JayDS

okok, let me explain sonja, it's sonja right?

13. sonja_lee2

yes

14. JayDS

1) y=2x-6 2) y=-3x+19 we want to find the x value and to do this we have to get rid of the y value. Since we rearranged the first equation already in terms of y, we can directly solve for x now.

15. JayDS

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16. JayDS

y-y= 0 2x--3x becomes 2x+3x=5x -6-19=-25 0=5x-25 5x-25=0 5x=25 x=25/5 x=5