Question

Find the value of q in the following system so that the solution to the system is(4,2) 3x-2y=8

2x+3y=Q

Answer 1

we have that
3x-2y=8 -----> equation 1
2x+3y=Q----> equation 2

the solution is the point (4,2)
in the equation 2 substitute the value of
x=4
y=2
so
2x+3y=Q------> 2*4+3*2=Q-------> Q=8+6------> Q=14

the answer is
Q=14