How many solutions does the system equation have 6X + 2?Y equals −18.

And three x plus y equals twenty four

1 answer

The system of equations is:
1) 6x + 2y = -18
2) 3x + y = 24

To find the number of solutions, we can solve the system of equations by substitution or elimination method.

Let's use the substitution method:
From equation 2, we can express y in terms of x:
y = 24 - 3x

Now substitute y in equation 1:
6x + 2(24-3x) = -18
6x + 48 - 6x = -18
48 = -18

This is a contradiction, so there are no solutions to this system of equations.