SOLUTION: how do you solve y=-3 y=x-3

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Question 827933: how do you solve y=-3
y=x-3
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=-3
y=x-3
___________________in standard form
0%2Ax%2By=-3
-x%2By=-3
_______________now solve system
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


0x%2By=-3

-x%2By=-3





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


0x%2By=-3 Start with the given equation



1y=-3-0x Subtract 0+x from both sides



1y=-0x-3 Rearrange the equation



y=%28-0x-3%29%2F%281%29 Divide both sides by 1



y=%28-0%2F1%29x%2B%28-3%29%2F%281%29 Break up the fraction



y=0x-3 Reduce



Now lets graph y=0x-3 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+0x-3%29+ Graph of y=0x-3




So let's solve for y on the second equation


-x%2By=-3 Start with the given equation



1y=-3%2Bx Add +x to both sides



1y=%2Bx-3 Rearrange the equation



y=%28%2Bx-3%29%2F%281%29 Divide both sides by 1



y=%28%2B1%2F1%29x%2B%28-3%29%2F%281%29 Break up the fraction



y=x-3 Reduce





Now lets add the graph of y=x-3 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+0x-3%2Cx-3%29+ Graph of y=0x-3(red) and y=x-3(green)


From the graph, we can see that the two lines intersect at the point (0,-3) (note: you might have to adjust the window to see the intersection)


the point (0,-3)