Clare said that 4/3 divided by 5/2 is 10/3 She reasoned: 4/3 x 5 equals 20/3 and 20/3 divided by 2 is 10/3 Explain why Clare's answer and reasoning are incorrect. Find the correct quotient.

See explanation

Step-by-step explanation:

4/3 ÷ 5/2

To solve this further, the minus sign changes to multiplication and the inverse of 5/2 is written. This will be:

= 4/3 ÷ 5/2

= 4/3 × 2/5

= 8/15

Claire's reasoning is wrong as she didn't multiply by the inverse of the number.

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18