SOLUTION: y= x-3 y= -x+ 7 What's the solution ?

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Question 929070: y= x-3
y= -x+ 7
What's the solution ?
Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
y= x-3
y= -x+ 7
..........
x-3 = -x + 7
2x = 10
x = 5 and y = 2 5-3
Ordered Pair(5,2) the Solution for this System

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=+x-3
y=+-x%2B+7+
____________________in standard form
-x%2By=-3
x%2By=+7+
____________________

Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


-x%2By=-3

1x%2By=7





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


-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 graph y=x-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+x-3%29+ Graph of y=x-3




So let's solve for y on the second equation


1x%2By=7 Start with the given equation



1y=7-x Subtract +x from both sides



1y=-x%2B7 Rearrange the equation



y=%28-x%2B7%29%2F%281%29 Divide both sides by 1



y=%28-1%2F1%29x%2B%287%29%2F%281%29 Break up the fraction



y=-x%2B7 Reduce





Now lets add the graph of y=-x%2B7 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x-3%2C-x%2B7%29+ Graph of y=x-3(red) and y=-x%2B7(green)


From the graph, we can see that the two lines intersect at the point (5,2) (note: you might have to adjust the window to see the intersection)