Answer: (x,y) = (4,1)
In other words, x = 4 and y = 1
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Explanation:
Add the equations straight down.
- The x terms add to 3x because 2x+x = 3x
- The y terms go away when you add them since -y+y = 0y = 0
- The terms on the right hand sides add to 7+5 = 12
After those three sets of adding terms, we end up with 3x = 12. This solves to x = 4 when you divide both sides by 3.
Use this x value to find y.
2x-y = 7
2(4)-y = 7
8-y = 7
-y = 7-8
-y = -1
y = 1
or
x+y = 5
4+y = 5
y = 5-4
y = 1
Your best best is probably to use the second equation, but it doesn't hurt to have practice with both equations. Getting the same y value helps confirm we have the correct x value.
Therefore, the solution is the ordered pair (x,y) = (4,1). Meaning that x = 4 and y = 1 pair up together.
Visual confirmation can be done by using a graphing tool like Desmos. The two lines intersect at (4, 1). See below.
