SOLUTION: solve each system of equations in 4 different ways, find the solutions(point of intersection). A) y=x+5 y=2x-6 B) Y=X+5 Y=-X-7

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: solve each system of equations in 4 different ways, find the solutions(point of intersection). A) y=x+5 y=2x-6 B) Y=X+5 Y=-X-7      Log On


   



Question 1148989: solve each system of equations in 4 different ways, find the solutions(point of intersection).
A) y=x+5
y=2x-6
B) Y=X+5
Y=-X-7

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Three of the ways would be substitution, elimination, graphing and you may already know how to do those. One more way might be matrix row reduction.

Part (A):
system%28x-y=-5%2C2x-y=6%29

1  -1  -5
2  -1   6


E1=2E1

2  -2  -10
2  -1    6


E2=E2-E1

2  -2  -10
0   1   16


E1=(1/2)E1

1   -1   -10
0    1    16
1   -1   -5
0   1    16


E1=E1+E2

1  0  6
0  1  16
1   0   11
0   1   16

system%28x=11%2Cy=16%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

solve each system of equations in 4 different ways, find the solutions(point of intersection).
A) y=x+5
y=2x-6
B) Y=X+5
Y=-X-7
Four (4) different methods? Do you know at least one (1)? And, do you really expect someone to actually show you 4 different methods, for FREE?
By the way, Mr. "ALWAYS WRONG" has an answer that is WRONG/INCORRECT/FALSE/RUBBISH. If you try to do it using one (1) of the 4 methods, you might be able to get the correct answer.
Hint: highlight_green%28x+%3C%3E+6%29
BTW, there are other methods besides the one he used....MUCH, MUCH, MUCH easier ones, and, ones that will give you the CORRECT answers in no time!