Video: Evaluating a Variable in a Given Linear Equation given the Values of Other Variables

The profit equation for a small business selling ๐‘ฅ of item A and ๐‘ฆ of item B is ๐‘ = 3๐‘ฅ + 4๐‘ฆ. Find ๐‘ฆ when ๐‘ = $453 and ๐‘ฅ = $75.

01:28

Video Transcript

The profit equation for a small business selling ๐‘ฅ of item A and ๐‘ฆ of item B is ๐‘ is equal to three ๐‘ฅ plus four ๐‘ฆ. Find ๐‘ฆ when ๐‘ is equal to 453 dollars and ๐‘ฅ equals 75.

We begin this question by considering the equation ๐‘ is equal to three ๐‘ฅ plus four ๐‘ฆ. Weโ€™re told that ๐‘ is equal to 453 dollars. ๐‘ฅ is equal to 75. So we need to multiply this by three. Our equation becomes 453 is equal to three multiplied by 75 plus four ๐‘ฆ. Three multiplied by 75 is 225. We can then subtract this from both sides of the equation. This gives us four ๐‘ฆ is equal to 228. Dividing both sides of this equation by four will give us our value for ๐‘ฆ. 228 divided by four is 57. We can therefore conclude that selling 75 of item A and 57 of item B gives a profit of 453 dollars.

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.