Final answer:
To solve the system of equations 6x + 2y = 25.92 and 4x + 3y = 33.93, you can use the elimination method. Multiplying the first equation by 3 and the second equation by 2, you can eliminate the y variable. Simplifying the resulting equation, you can solve for x. Then, substituting the value of x into one of the original equations, you can solve for y.
Step-by-step explanation:
To solve the system of equations:
6x + 2y = 25.92
4x + 3y = 33.93
We can use either the substitution method or the elimination method. Let's use the elimination method to solve for x and y.
Multiplying the first equation by 3 and the second equation by 2, we get:
18x + 6y = 77.76
8x + 6y = 67.86
Subtracting the second equation from the first equation, we get:
10x = 9.90
Dividing both sides by 10, we find that x = 0.99.
Substituting this value of x into one of the original equations, we can solve for y:
6(0.99) + 2y = 25.92
5.94 + 2y = 25.92
2y = 19.98
y = 9.99.
Therefore, the solution to the system of equations is x = 0.99 and y = 9.99.