SOLUTION: Is (4, 5) a solution to this system of equations? 2x + 3y = 23 y + x = 9

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Question 308420: Is (4, 5) a solution to this system of equations?
2x + 3y = 23
y + x = 9
Found 2 solutions by Fombitz, texttutoring:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Plug in and find out.
+2%284%29%2B3%285%29=23
+8%2B15=23
+23=23
True
+y%2Bx=9
+5%2B4=9
+9=9
True.
The solution led to a true statements.
It's a good solution.

Answer by texttutoring(324) About Me  (Show Source):
You can put this solution on YOUR website!
Substitute x=4 and x=5 in to each equation. If the equations hold true, then that means that (4,5) is the coordinate of the intersection between the two lines, 2x+3y=23 and y+x=9.

Eqn 1: 2x+3y=23
2(4)+3(5)=23
8+15=23
23=23

Looks good!

Eqn 2: y+x=9
4+5=9
9=9

It's also true. Therefore, the solution of the system of equations is (4,5), meaning the two lines intersect at that point.