Explanation:
Simulteanous Equations
Simulteanous Equations are multiple equations with corresponding number of unknown variables.
They can be solved by 2 methods: Substitution and Elimination Method.
Solution
x = 4
y = 8
We will use the Elimination Method since the question specify as so.
4x - 3y = -8 (Equation 1)
9x - 3y = 12 (Equation 2)
By using Equation 1 - Equation 2,
4x - 9x - 3y - (-3y) = - 8 - 12
-5x - 3y + 3y = - 20
-5x = - 20
x = - 20 ÷ - 5 = 4
Now we substitute x = 4 into Equation 1.
4(4) - 3y = - 8
16 - 3y = - 8
-3y = - 8 - 16
-3y = - 24
y = - 24 ÷ - 3
= 8
Therefore the varables are:
x = 4
y = 8