First thing we need to do is create a set of equations.
For this solution I'll be using the variables:
a - to symbolize Apples
o - to symbolize Oranges
The goal is to combine the equations to just solve for oranges.
Our equations are:
2a + 3o = 3.90
1a + 5o = 4.75
Now we want to do something to one of the equations so when we combine them, we only have o variables. For this solution, we are going to multiply the second equation by -2.
-2( 1a + 5o = 4.75)
If we multiply the -2 into the equation, it will give us a new equation:
-2a -10o = -9.5
If we combine this equation with the 1st one, we get
2a +3o = 3.90
-2a -10o = -9.5
When we add these equations together, we get
2a -2a + 3o - 10o = 3.90 -9.5
Which can be simplified to:
-7o = -5.6
The two negatives cancel out, so we have
7o = 5.6
This shows that 7 oranges are equal to $5.6
But we're looking for the value of 1 orange so let's continue simplifying our equation.
If we divide both sides by 7, we get
o = 5.6/7 = 0.08
This means 1 orange is equal to $0.08
I hope this helps!