Let m be the number of candy bars Melissa sells.
Let t be the number of candy bars Trevor sells.
We are given the equation t = 6m + 3. This equation represents Trevor's candy bar sales.
We are also given the equation m + t = 24. This equation represents the total number of candy bars sold.
We now have a system of equations:
t = 6m + 3
m + t = 24
We can solve this system by substituting the value of t from the first equation into the second equation.
Substituting t = 6m + 3 into the second equation, we have:
m + (6m + 3) = 24
m + 6m + 3 = 24
7m + 3 = 24
7m = 24 - 3
7m = 21
m = 21 / 7
m = 3
Now that we have the value of m, we can substitute it back into the first equation to find the value of t:
t = 6m + 3
t = 6(3) + 3
t = 18 + 3
t = 21
what 2 equations do i put into the a graphing calculator for the intercept
To graphically solve this system of equations using a graphing calculator, you need to input the two equations into the calculator. The equations are:
1) t = 6m + 3
2) m + t = 24
To plot these equations on a graphing calculator, follow these steps:
1) Turn on the graphing calculator and go to the graphing mode.
2) Enter the first equation into the calculator by inputting 'y = 6x + 3'. Here, 'y' represents 't', and 'x' represents 'm'.
3) Enter the second equation into the calculator by inputting 'y = 24 - x'. Again, 'y' represents 't', and 'x' represents 'm'.
4) Once both equations are entered, graph them by selecting the 'graph' or 'draw' function on the calculator.
5) The point where the two lines intersect corresponds to the solution to the system of equations. In this case, it represents the values of 'm' and 't' that satisfy both equations.
By viewing the graph, you can identify the point of intersection, which provides the values of 'm' and 't'.