# Math

I have two unknown numbers x and y, and the sum of x and y(x+y) is 78 and the product is (x*y) is 896

1. 👍 0
2. 👎 0
3. 👁 63
1. Eq1: X + Y + 78.

Eq2: XY = 896.

X + Y = 78,
X = 78 - Y.
Substitute 78 - y for X in Eq2:
(78 - y)y = 896,
-Y^2 + 78Y - 896 = 0,
Multiply both sides by -1:
y^2 -78y + 896,
Use Quad. Formula to find y:
Y = 64, and 14.
Substitute 64 for y in Eq1:
X + 64 = 78,
X = 14.
Substitute 14 for y in Eq1:
X + 14 = 78,
X = 78 - 14 = 64.

Solution set: (14 , 64), (64, 14).

1. 👍 0
2. 👎 0
posted by Henry

## Similar Questions

1. ### algebra

Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). The sum of two numbers is 36. Their difference is 4. Determine the two

asked by keith on July 7, 2012
2. ### College Algebra

The sum of two numbers is less than 12. The second number is 8 more than the first. What are the possible values for the first of the two numbers? Your problem would look like this X+(X+8)

asked by Karen on July 25, 2007
3. ### algebra

Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). The difference between two numbers is 3, and the sum of those two

asked by Cory on July 7, 2012
4. ### Integers

Suppose a1, a2, . . . , an is a list of n numbers with the following properties: The sum of those n numbers is 500. The sum of the smallest three of those numbers is 48. The sum of the largest two of those numbers is 35. (Note:

asked by Rock on April 15, 2010
5. ### Algebra

One number is 3 times another. If the sum of their reciprocals is 4, find the two numbers. __ 15 this is supposed to be 4 over 15 Let the smaller number be x. The two numbers are then x and 3x. You have only one unknown now. 1/x +

asked by Daniela on October 29, 2006
6. ### MATH

system of linear equation The sum of 3 numbers is 14 the largest is 4 times the smallest the sum of the smallest and twice the largest is 18 what are the 3 numbers? show work? A. how many unknowns you have? -how many equations

asked by YANETH on November 1, 2011
7. ### College algebra

system of linear equation The sum of 3 numbers is 14 the largest is 4 times the smallest the sum of the smallest and twice the largest is 18 what are the 3 numbers? show work? A. how many unknowns you have? -how many equations

asked by YANETH on November 1, 2011
8. ### Algebra

Ursula wrote the sum 5.815 +6.021 as a sum of two mixed numbers. part A. What sum did she write? b. Compare the sum of the mixed numbers to the sum of the decimals? Please answer both questions thanks

asked by Ms. Liz on October 8, 2014