Answer:
(6,3)
Explanation:
x + 3y = 15
4x + 2y = 30
This system of equations can either be solved by elimination method or substitution method or both
We are going to use both method to solve this system of education
First we are gong to use elimination method to find the value of y
x + 3y = 15 -------------(1)
4x + 2y = 30 -----------(2)
Using the elimination method, to eliminate x, we want to make coefficients of x the same, to do that we multiply equation (1) by 4
4x + 12y =60 --------------(3)
subtract equation (2) from equation (3)
(4x-4x =0 12y - 2y = 10y 60 -30=30 )
We will have;
10y = 30
Divide 10 by both-side of the equation
10y/10 = 30/10
y = 3
We will use substitution method to get the value of x,
We will now substitute y=3 in equation (1)
x + 3y = 15
x + 3(3) = 15
x + 9 = 15
Subtract 9 from both-side of the equation
x +9 - 9 = 15 -9
x = 6
The solution to the system of the equations is x=6 and y =3
(6, 3)