Question

y + 3 = 2x
y + 4 = 3x

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


y + 3 = y + 4
2x - 3 = 3x - 4
2x + 3 = 3x + 4

Answer 1

solve for y, then substitute the y into one another
y+3 =2x --> y=2x-3
y+4 =3x --> y= 3x-4
2x-3=3x-4

Answer 2

multiply the first term by -
and the 2nd term by +

Answer 3

you'll get
-y-3=-2x
y+4=3x

Answer 4

now sub the 1st term from the 2nd

Answer 5

you'll getx=1
so put x=1 in equation 1
you'll get
y+3=2(1)
y+3=2
y=2-3
y=-1

Answer 6

now put x and y value in the 2nd equation
-1+4=3(1)
-1+4=3
3=3

Answer 7

we got same answer on both sides so its right