Solve the system of equations 6X negative 3Y equals - 69X minus 3Y equals -18
To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method.
Given equations:
1) 6X - 3Y = - 69
2) X - 3Y = - 18
From equation 2), we can express X in terms of Y:
X = 3Y - 18
Now substitute this expression for X into equation 1):
6(3Y - 18) - 3Y = -69
18Y - 108 - 3Y = -69
15Y = 39
Y = 39/15
Y = 13/5
Now substitute the value of Y back into the expression for X:
X = 3(13/5) - 18
X = 39/5 - 18
X = 39/5 - 90/5
X = -51/5
Therefore, the solution to the system of equations is:
X = -51/5
Y = 13/5