Solve the system of equations
3X plus 6Y equals 21
Negative 5X plus 2Y equals 13
To solve this system of equations, we can use either the substitution or elimination method.
Let's use the elimination method here:
1. Multiply the first equation by 5 and the second equation by 3 to make the coefficients of X the same:
15X + 30Y = 105
-15X + 6Y = 39
2. Add the two equations together:
36Y = 144
3. Solve for Y:
Y = 4
4. Substitute this value of Y back into one of the original equations:
3X + 6(4) = 21
3X + 24 = 21
3X = -3
X = -1
Therefore, the solution to the system of equations is X = -1 and Y = 4.