The sum of two numbers is 46. The larger number is two less than three times the smaller number. Find the numbers.

Mathematics

1 answer:

melamori03 [73]3 years ago

8 0

Answer: The numbers are: x = 34, y = 12

Step-by-step explanation:

Lets say the numbers are x and y. The two equations are:

x+y=46

x= 3y-2

Next you use substitution for x in the first equation which brings you to

3y-2 + y = 46 which simplyfies to:

4y - 2 = 46

4y = 48

48 / 4 = 12

y = 12

Then you plug back y=12 in either of the equation to solve for x:

x = 3y - 2

x = 3(12) - 2 = 36 - 2 = 34

x = 34, y = 12

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