Question

y + 3 = 2x

y + 4 = 3x



If you use the comparison method to solve the given system, what is the resulting equation?

Answer 1

y+3=2x
=>y=2x-3
and,
y+4=3x
=>y=3x-4
so comparing y values from two equations,
2x-3=3x-4
=>4-3=3x-2x
=>1=x
=>x=1
Putting the value of x in first equation,
y+3=2(1)
=>y=2-3=-1
so the results are,
x=1, y=-1