Question

Systems of Linear Equations Unit Test Solve the system of equations - 6x + 2y = - 32; 4x + 3y = - 9 ( 1 point )

Answer 1

To solve this system of equations, we can use either substitution or elimination method. Let's use the elimination method:

1. Multiply the first equation by 2 to make the coefficients of y the same:
- 12x + 4y = -64

2. Write both equations together:
- 12x + 4y = -64
4x + 3y = -9

3. Add the two equations together to eliminate y:
- 8x = -73
- x = -73 / -8
- x = 9.125

4. Substitute the value of x back into one of the original equations to solve for y:
4(9.125) + 3y = -9
36.5 + 3y = -9
3y = -45.5
y = -45.5 / 3
y = -15.167

Therefore, the solution to the system of equations is x = 9.125 and y = -15.167.