What is the system of solution

4x-y =-3
6x-y=-8

5,5.5
-2.5,-7
-2.5,2.2
2.5,-7

1 answer

To solve the system of equations:

4x - y = -3 ----(1)
6x - y = -8 ----(2)

You can solve this system using different methods such as substitution, elimination, or matrix method.

Using the substitution method:
From equation (1), rearrange it to solve for y:
y = 4x + 3

Substitute this value for y in equation (2):
6x - (4x + 3) = -8
6x - 4x - 3 = -8
2x - 3 = -8
Add 3 to both sides:
2x = -5
Divide by 2:
x = -5/2 = -2.5

Now substitute the value of x back into equation (1) to find y:
4(-2.5) - y = -3
-10 - y = -3
Add 10 to both sides:
-y = 7
Multiply by -1:
y = -7

Therefore, the solution to the system of equations is x = -2.5, y = -7.