Answer:
x = 105
y = 50
Step-by-step explanation:
To solve this, try writing it out as an equation/expression first.
When you do, you should get something like this:
2x + 2y = 310
x - y = 55
This is a system of equations. To solve this, we're going to multiply the second equation [x - y = 55] by 2.
2(x - y = 55) = 2x - 2y = 110
Now, subtract your new equation from the first one [2x + 2y = 310]
2x + 2y = 310
-2x + 2y = -110
//If you're wondering why I changed the signs of the new equation, I multiplied our new equation [2x - 2y = 110] by -1 since we're subtracting//
When you're done subtracting, the "2x" and "-2x" cancel out, so you're left with:
4y = 200
Now, simply solve for "y" by dividing both sides by 4.
4y = 200
y = 50
Now that we know y's value, substitute it into one of our original equations to solve for x.
//I'm gonna plug y into the second equation [x - y = 55] just because it's easier, but you can plug it into the first one as well and get the same answer//
When we plug it in, we get:
x - (50) = 55
To solve for "x," we must get rid of "-50." To do this, add 50 to both sides.
x - 50 = 55
x = 105
So, x = 105 and y = 50
