Question

Twice the product of two numbers is 50

Answer 1

Step-by-step explanation:

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ALGEBRA 1 WORD PROBLEM SYSTEMS OF EQUATIONS

 

Conor Q.

 asked • 01/30/18

The sum of two numbers is 50. The first number is 2 more than twice the second number. Write and solve a system of equations to find the two numbers.

This is a word problem for algebra 1. It's using systems of equations

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Cristl A. answered • 01/30/18

Trigonometry Tutor for 8 years

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