Question

Solve the system of equations:

5x+y=9
3x+2y=4

a) (−2, 5)
b) (1, 4)
c) (2,−1)
d) (4,−4)

Answer 1

To solve the system of equations, we can use the elimination method. After performing the necessary steps, the solution is (1, 4).

Step-by-step explanation:

To solve the system of equations:

5x + y = 9

3x + 2y = 4

We can use the elimination method:

1. Multiply the first equation by 2 to make the coefficients of y in both equations the same.
2. Subtract the second equation from the first equation to eliminate y.
3. Solve the resulting equation for x.
4. Substitute the value of x back into one of the original equations to solve for y.

By following these steps, we find that the solution to the system of equations is (1, 4).