2X-3Y=-24 and X+6Y=18
X= Y=
rearrange the equation
X+6y=18
to x=18-6y to get x by itself
sub x into the other equation and solve for y
2(18-6y)-3y=-24
y=.....
then sub the y value back into x= 18-6y to get what x is
x=18-6(....)
write them as
4x-6y = -48
x+6y = 18
add them together and you get
5x = -30
...
To solve the given system of equations:
Equation 1: 2X - 3Y = -24
Equation 2: X + 6Y = 18
We will use the method of substitution to find the values of X and Y.
Step 1: Solve Equation 2 for X
X = 18 - 6Y
Step 2: Substitute the value of X from Step 1 into Equation 1
2(18 - 6Y) - 3Y = -24
Step 3: Simplify and solve for Y
36 - 12Y - 3Y = -24
36 - 15Y = -24
-15Y = -60
Y = 4
Step 4: Substitute the value of Y = 4 into Equation 2 to solve for X
X + 6(4) = 18
X + 24 = 18
X = 18 - 24
X = -6
Therefore, the solution to the system of equations is:
X = -6
Y = 4