The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is the largest of the two numbers?

One number is 4.2, the other is 18.8

Step-by-step explanation:

1.)  x+y=23

    (x+6y)x2=4

2.) (x+6y)x2=4   =   2x+12y=4

3.)Use elimination/substitution to solve

     2x+12y=4  =   x+6y=2  =  x=2-6y

     2-6y+y=23

4.)Solve for y

     2-5y=23 -> -5y=21 -> y=4.2.

5.)Solve for x

    x+4.2=23

    x=18.8

I may be wrong so let me know if I am

cbnygjdyj

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.