SOLUTION: 1. The sum of two numbers is 24. The second number is 3 times the first number. a. Write a system of equations that represents the information in b. Solve the system of equation

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Question 272612: 1. The sum of two numbers is 24. The second number is 3 times the first number.
a. Write a system of equations that represents the information in
b. Solve the system of equations using the Elimination Method
c. Solve the system of equations using the Substitution Method
Answer by mananth(16946) About Me  (Show Source):
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The sum of two numbers is 24. The second number is 3 times the first number.
a. Write a system of equations that represents the information in
b. Solve the system of equations using the Elimination Method
c. Solve the system of equations using the Substitution Method
Let one number be x
The other number will be 24-x
24-x = 3x
24 = 4x
24/4 =x
x=6 & 18 is the other number
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Let one number be x
the other number be y
y=3x
x+y=24 Substitute the value of y in the equation
x+3x=24
4x=24
x=6 y=3x so y=18
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x+y =24 --------------1
y=3x
y-3x=0 ---------------2
subtract equartion 2 from 1
x+y- (y-3x)=24
x+y-y+3x=24
x+3x=24
4x=24
x=6
y=3x
y=18
The numbers are 6 & 18