How many solutions does the system of equations have 6X plus 2Y equals -18 3X plus Y equals 24

Answer 1

To find the solutions for the system of equations, we can use the method of substitution or elimination.

Let's solve the system using substitution:

From equation 2: 3X + Y = 24
By rearranging, Y = 24 - 3X.

Now substitute this value of Y into equation 1:

6X + 2(24 - 3X) = -18
6X + 48 - 6X = -18
By canceling like terms: 0 = -18 - 48
0 = -66

Since 0 does not equal -66, the two equations are inconsistent, and this system of equations has no solution.

Therefore, the system of equations 6X + 2Y = -18 and 3X + Y = 24 have no solutions.