Answer:
x=1
y=1
Which matches your answer for X and Y. Now to graph it,
Plot points for the first equation, use (1,1), (2,-4), (3,-9) and draw a continuous line through those points. These points were figured with the first equation y==5x+6 and notice that the first number in each set was an x value of 1, 2, & 3 and the second number in the set was the y value calculated from that equation using those x values..
Now plot points for the second equation, use (1,1), (2,4), (3,7) and draw a continuous line through these points. Again, we used 1, 2, & 3 for our x values. We calculated the y values for these sets using the second equation using those x values..
Where the lines intersect (1,1) is the solution for your equations.
Step-by-step explanation:
y=-5x+6
y=3x-2
since y=y,
-5x+6=3x-2
reduce:
8x=-8
x=1
y=3(1)-2=1
