5X + 60Y = 35
X + Y = 1.5
Ok so this is known as a system of equations. The x variable in the first equation is the same as the x in the second equation, as is the y.
So in order to solve this, let's solve for one of the variables in the second equation. It doesn't matter which so lets just pick the variable y.
So
X + Y = 1.5
Subtract X from both sides
Y = -X + 1.5
Voila! You have a variable for y. Now you can substitute you value of y into the other equation.
5X + 60(-X + 1.5) = 35
Now do you see how we only have one variable to solve for in the equation? Solve this equation and you have the value of x.
5X - 60X + 90 = 35
-55X = -55
X = 1
Hah! We have a value for X! But what is the value of y? In ordering to find the value of y you need to take a previous equation and substitute the value that we found for x into the equation. Let's take the easiest equation shall we?
X + Y = 1.5
X = 1
1 + Y = 1.5
Y = 0.5
And there we are! The values we were in search of across the dry deserts and cold, salty waters. Eww salty water. What was I talking about? Sorry I'm ADHD.
X = 1
Y = 0.5
