Set them into slope-intercept forms of equations then set those equations equal to each other and solve for x and y. y = 34x - 5 and y = -14x+3. Set those equal to each other, solve for x to get x = 1/6. Sub in that x value to get y = 2/3. The point where they intersect is the solution of the system; in other words, where on both lines we have the exact same (x, y) value.
Answer:
$662.29
Step-by-step explanation:
What is the time it takes Sanjay to complete the puzzle? 6 hours
What is the time it takes Felipe to complete the puzzle? 8 hours
We can use the general formula of rate and time to solve this problem. Generally we have,
<em><u>Rate * Time = Work/Job</u></em>
<em>** where Work/Job for this problem is 1 since they are doing 1 work, which is solving a puzzle</em>
- <u>Finding rate of Sanjay:</u>

- <u>Finding rate of Felipe:</u>

Working together, their rate is the sum,
Total Rate =
.
Using the general formula again, we can find the time it will take to solve the puzzle when both works together.
hours
Rounding the answer, we have 3.4 hours.
ANSWER: 3.4 hours