We need a system of equations to solve this. "Difference" is to subtract, and we are taking this difference of the 2 squared unknowns to be 20. That equation is
. Our "first number is x^2, so 3 times that is 3x^2. "Increased by" is adding to that first number. What we are adding is the second number. The second equation is
. Let's solve the first equation for x^2:
and sub that value for x^2 into the second equation.
and
. Subtract 60 from both sides and combine the y^2 terms to get
. Divide both sides by 4 to get y^2 = 16 and y = 4. Let's go back now and solve for x. We will use the fact that y^2 = 16 to solve for x^2 and then take the square root of it.
, x^2 = 4, so x = 2. Your solutions are x = 2 and y = 4. There you go!
The TV is 28% off. You can verify this by dividing 1022.4 by 1420 and getting 0.72. That's how much of the price you have to pay.
So you just subtract .72 from 1 to .28
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