Let x represent the number of trading cards Mr. Dominguez has.
Let y represent the number of trading cards Mr. Culver has.
We can create the following equations based on the given information:
1. Mr. Culver has 2 more than 6 times as many trading cards as Mr. Dominguez: y = 6x + 2
2. Together they have 55 candy bars: x + y = 55
To solve this system of equations using elimination, we can multiply equation 1 by -1 and then add it to equation 2:
-1(y = 6x + 2)
-x - y = -55
This simplifies to:
-x - y = -55
0 = -53x - 56
Next, we can solve for x:
-53x = 56
x = -56/-53
x = 56/53
Finally, substituting the value of x back into equation 2 to solve for y:
56/53 + y = 55
y = 55 - 56/53
y = 55 - (56/53)
y = (55*53 - 56)/53
y = (2915 - 56)/53
y = 2859/53
Therefore, the solution is x = 56/53 and y = 2859/53.
Question 1 Mr. Dominguez and Mr. Culver both have baseball trading cards. Mr. Culver has 2 more than 6 times as many trading cards as Mr. Dominguez. Together they have 55 candy bars. Create a system of equations to represent the scenario above. using x and y variables then solve using eliminaton
then solve
1 answer