Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

The difference between two numbers is 40. Twice the first number plus three times the second number
is 100. Find the numbers. Provide a full solution.

Sagot :

Answer:

x = 44 and y = 4

Step-by-step explanation:

Given:

x - y = 40

2x + 3y = 100

Isolate for x in the first equation:

x = 40 + y

Sub x = 40 + y into the second equation and solve for y:

2(40 + y) + 3y = 100

80 + 2y + 3y = 100

5y = 20

y = 4

Sub y = 4 into the equation for x:

x = 40 + 4

x = 44

Therefore, x = 44 and y = 4