The product of two number are 88. the sum of the two numbers is 26. what are the numbers?

x = 4 and 22, y = 4 and 22

The unknown numbers are 4 and 22

Step-by-step explanation:

Let the two numbers be x and y

If their product is 88, we will have

xy = 88... (1)

If their sum is 26, we will have

x+y = 26... (2)

Solving equation 1 and 2 simultaneously,

From (2), x = 26-y...(3)

Substituting (3) into (1),

(26-y)y = 88

26y - y² = 88

Multiplying through by minus

y²-26y = -88

y² - 26y + 88 = 0

Factorizing this equation,

y² - 22y - 4y + 88 = 0

y(y - 22) -4(y - 22) = 0

(y-4)(y-22) = 0

y = 4 and 22

Substituting the value of y into equation (2) to get x, we have;

x+4 = 26

x = 22

Similarly,

x + 22 = 26

x = 4

Therefore, x = 4 and 22, y = 4 and 22

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis: