Twice the product of two numbers is 50
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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