Question

Solve the system of equations:

4x + 7y = 21
9x + 4y = 16
7x + 3y = -9
4x + 3y = -9.

Answer 1

To solve the system of equations, you can use the method of elimination. Multiply equations to eliminate variables and then solve simultaneously

Step-by-step explanation:

To solve the system of equations:

4x + 7y = 21

9x + 4y = 16

7x + 3y = -9

4x + 3y = -9

We can use the method of substitution or elimination. Let's use the method of elimination:

1. First, multiply the first equation by 3 and the fourth equation by -7 to eliminate the y variable.
2. Next, subtract the second equation from the first equation and the third equation from the fourth equation to eliminate the x variable.
3. You will be left with two equations in terms of y, which you can solve simultaneously.
4. Once you have found the value of y, substitute it back into one of the original equations to solve for x.

The final solution for the system of equations is x = -1, y = 3.