Answer:
Step-by-step explanation:
We need a system of equations for this. The first sentence in the problem tells us the first equation. "Sum" means we are adding, "is" means equals. Therefore, the first equation is
x + y = 10.3
The second sentence tells us the second equation. "Difference" means to subtract. Therefore, the second equation is
x - y = 2.84
It would be best to solve this by elimination (also called addition). Line them up one over the other so the variables also line up:
x + y = 10.3
x - y = 2.84
And as you see, when you add straight down, the y's eliminate each other, leaving us with
2x = 13.14 and divide by 2 to get that
x = 6.57
Now plug that in for x to solve for y in either one of the equations. I'll use the first one:
6.57 + y = 10.3 so
y = 3.73
