Solve the system of equations

Question

3X plus 6Y equals 21
Negative 5X plus 2Y equals 13

Answer 1

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.