Answer: The two numbers are 1 and 4
1+4 = 5
1-4 = -3
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Explanation:
You set the equations up properly. Nice work so far.
Let's add the equations straight down.
- The x terms add to x+x = 2x
- The y terms add to y+(-y) = y-y = 0y = 0, showing that the y terms cancel each other out and go away.
- The numbers on the right side add to 5+(-3) = 2
After those three sets of addition operations, we are left with the equation 2x = 2. This solves to x = 1 after dividing both sides by 1.
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Use this x value to find y
We can pick either equation. If we pick the first equation, then,
x+y = 5
1+y = 5
y = 5-1
y = 4
Or we could use the other equation instead
x-y = -3
1-y = -3
-y = -3-1
-y = -4
y = 4
Either way, we get the same y value when x = 1. This helps confirm we have the correct x value. A more thorough check would involve plugging (x,y) = (1,4) into both original equations and simplifying. You should get the same value on each side.
