Question

the sum of two numbers is 50 and twice the sum of the numbers is 100.Make a pair of equations and solve them to find the numbers

Answer 1

Equation 1: x + y = 50 (sum of two numbers, x and y, equal 50)

Equation 2: x = 2y + 2 (the first number, x, is equal to 2 more than twice the second number, y)

To solve the system, you can use substitution:

since x = 2y + 2, substitute 2y + 2 for x in equation 1 to get:

2y + 2 + y = 50 (combine like terms)

3y + 2 = 50

3y = 50 - 2

3y = 48

y = 16

Substitute 16 for y in either equation 1 or 2 and solve for x (I chose equation 1):

x + 16 = 50

x = 50 - 16

x = 34