SOLUTION: For the systems of linear equations in questions 3 - Determine how many solutions exist - Use either elimination or substitution to find the solutions (if any) - Graph the two l

Algebra ->  Linear-equations -> SOLUTION: For the systems of linear equations in questions 3 - Determine how many solutions exist - Use either elimination or substitution to find the solutions (if any) - Graph the two l      Log On


   

Question 327031: For the systems of linear equations in questions 3
- Determine how many solutions exist
- Use either elimination or substitution to find the solutions (if any)
- Graph the two lines, labeling the x-intercepts, y-intercepts, and points of intersection
x + y = 3 and y = x + 3
Found 2 solutions by vleith, macky34:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
x+%2B+y+=+3
y+=+x+%2B+3 = x+-y+=+-3
You have two lines. Not the same and not parallel. So one solution exsits.
Using elminatiion
x+%2B+y+=+3
x+-+y+=+-3 add the two
------------------
2x+=+0
x+=+0
If x - 0, then use that to find y
x+%2B+y+=+3
0+%2B+y+=+3
y = 3
Plot and verify graphically that the point of intersection is (0,3)
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C+3-x%2C+x+%2B+3%29

Answer by macky34(1) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-1%5Cy+=+0+%29%0D%0A++

Any system of equations:


has solution

or



(x=1, y=1}