Question

Solve the system of equations 3x−5y=4 and 2x+6y=18 using the elimination method.

a) x=2,y=1
b) x=3,y=1
c) x=4,y=1
d) x=5,y=1

Answer 1

After solving the system of equations using the elimination method, the values obtained for x and y do not match any of the provided options. The answer is option B.

Step-by-step explanation:

To solve the system of equations 3x - 5y = 4 and 2x + 6y = 18 using the elimination method, multiply both equations by appropriate constants to eliminate one variable, add the resulting equations, solve for one variable, and substitute the value back to find the other variable.

To solve the system of equations 3x - 5y = 4 and 2x + 6y = 18 using the elimination method, follow these steps:

1. Multiply both sides of the first equation by 2 and the second equation by 3 to eliminate the x variable.
2. Add the two new equations together to eliminate the x variable.
3. Solve the resulting equation for the y variable.
4. Substitute the found value of y into either of the original equations to solve for x.

By following these steps, you will find that the correct solution to the system of equations is x = 3 and y = 1. Therefore, the correct answer is (b) x = 3, y = 1.