Answer:
The point of intersection of these two lines will be: (3, 14)
Step-by-step explanation:
- The solution of two lines is the point of intersection.
Given the equations
Solving the system of the equations
Therefore, the point of intersection of these two lines will be: (3, 14)
Answer:
74
Step-by-step explanation:
370 / 5 = 74 so she can only make 74
Hope this helped
The trick here is to relate the NUMBER of coins to each other in one equation, and then the VALUE of the coins in another equation. If I have 1 dime, that 1 dime is worth 10 cents. The number of dimes is obviously not equal to the value. Let's call quarters q and dimes d. The number of these 2 types of coins added together is 80 coins. So q + d = 80. Now, we know that quarters are worth .25 and dimes are worth .1, so we express a quarter's worth as .25q; we express a dime's worth as .1d. The value of the coins we have is 14.90. So that equation is .25q + .1d = 14.90. Let's solve the first equation for q. q = 80 - d. We can now use that as a substitution for q into the second equation, giving us an equation with only 1 unknown, d. .25(80-d) + .1d = 14.90. Distributing through the parenthesis we have 20 - .25d + .1d = 14.90. Combining like terms gives us - .15d = - 5.1. We will divide both sides by - .15 to get that the number of dimes is 34. If we had a total of 80 coins, then the number of quarters is 80 - 34, which is 46. 46 quarters and 34 dimes
For example if you have multiple numbers with the letter a at the end you will want to add. 7a + 8a would be 15a. Same for subtraction. If you have an equation with multiple letters. For example 4a+9b it will stay 4a and 9b. Make sure to do pemdas
