SOLUTION: is the point of (3,5) the solution to each system of linear equations? Explain. a) 2x-y=1 3x+4y=29 b) x+y=8 2x-y=-1

Algebra ->  Linear-equations -> SOLUTION: is the point of (3,5) the solution to each system of linear equations? Explain. a) 2x-y=1 3x+4y=29 b) x+y=8 2x-y=-1      Log On


   

Question 838724: is the point of (3,5) the solution to each system of linear equations? Explain.
a) 2x-y=1
3x+4y=29
b) x+y=8
2x-y=-1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
PLug in the value and see.
I'll do one, you do the next.
2x-y=1
2%283%29-5=1
6-5=1
1=1
True, so far, so good
3x%2B4y=29
3%283%29%2B4%285%29=29
9%2B20=29
29=29
True, solves both, so it is a solution to the system.
Do the same for the second pair of equations.
If you get any contradictions, like 2=0, then the answer is FALSE and it's not a solution.