Solve the system of two equations using subsitution or elmin
Solve the system of two equations using subsitution or elmination?
7x + 5y + 3z =144 and x + y + z=30
Solution
with 2 equations and 3 variables we cannot have single set of solution
given
7x + 5y + 3z =144 ----------------->(1)
x + y + z=30------------------->(2)
multiply (2) with 3
3x +3y +3z =90------------->(3)
subtract (3) from (1)
7x + 5y + 3z -3x -3y -3z =144-90
4x +2y =54
2(2x+y)=54
2x+y=27
x=(27-y)/2
so lution is
z =t
y =s
x =(27-s)/2
