Final answer:
To solve the system of linear equations, use the elimination method by subtracting the first equation from the second to find y = -39, then substitute the value of y back into one of the original equations to find x = 18.
Step-by-step explanation:
How to Solve the Given System of Equations
To solve the system of equations:
- 9x + 4y = 6
- 9x + 5y = -33
We can subtract the first equation from the second to eliminate the variable x. This step is known as the elimination method.
(9x + 5y) - (9x + 4y) = -33 - 6
Which simplifies to:
y = -39
Next, we substitute the value of y into one of the original equations to solve for x:
9x + 4(-39) = 6
9x - 156 = 6
9x = 162
x = 18
So, the solutions are x = 18 and y = -39.