One number is three less than a second number. Twice the first is 9 more than 3 times the second. Find the values of the first and second number

Answer 1

x=y-3

2x=3y+9

2(y-3)=3y+9

2y-6 = 3y+9

y =-15

x =-15-3 =-18

Answer 2

Hello, Lesem,

Let's say the two numbers are X (first number) and Y (second number).

The first sentence says:

X = Y - 3

The second sentence says:

2X = 3Y + 9

Substitute the first equation into the second, using the definition of X:

2(Y - 3) = 3Y + 9

We just eliminaated "X," so now we can solve for Y:

2Y - 6 = 3Y + 9

-Y = +15

Y = -15

Use Y in the first equation to find X:

X = Y - 3

X = -15 - 3

X = -18.

Check to see if these numbers work in both equations (they do).

Bob