Recycle Here is a number machine.
input
x 5
- 3
output
Contr
Pane
a) Work out the output when the input is 8
(1)
I
Art
b) Work out the input when the output is 42
(2)
D &

(a) Output = 37

(b) Input = 9

Step-by-step explanation:

Given

Solving (a): Output, when input = 8

This means that, we solve for y when x = 8

So, we have:

Solving (b): Input, when output = 42

This means that, we solve for x when y = 42

So, we have:

Collect like terms

Divide both sides by 5

1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

i hope this you, and have a wonderful day!