Can some one please explain this? Thank you all!

Mathematics

1 answer:

IRINA_888 [86]3 years ago

8 0

Basically bill wrote or chose a number. That number that he chose needed to have 2 things.

1. It needed to have been a number in between 27 and 45

2. It needed to have been an odd number in between 27 and 45.

There are only 2 possible choices that are odd, so eliminate the other 2 that are even. Next look at the 2 numbers that are odd.

The digits for each number must add up to 8.

35 - 3 + 5 = 8
43 - 4 + 3 = 7.

Which number adds up to 8. The digits in 35 or 43? It is 35.

Thus the final solution is 35. The number that Bill wrote.

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6-7(x+1)= -3(2-x)<br> How do you solve this?

kicyunya [14]

<h3><u>Explanation</u></h3>

Given the equation.

$6 - 7(x + 1) = - 3(2 - x)$

Distribute/Simplify

$6 - 7x - 7 = - 6 + 3x \\ - 1 - 7x = - 6 + 3x$

Solve the equation for x-term by making x as the subject.

$- 1 + 6 = 7x + 3x \\ 5 = 10x \\ \frac{5}{10} = x \\ \frac{1}{2} = x$

Answer Check by substituting the value of x in the equation.

$6 - 7( \frac{1}{2} ) - 7 = - 6 + 3( \frac{1}{2} ) \\ 6 - \frac{7}{2} - 7 = - 6 + \frac{3}{2} \Longrightarrow \sf{You \: \: can \: \: change \: \: sides \: \: to \: \: make \: \: it \: \: easier} \\ 6 - 7 + 6 = \frac{7}{2} + \frac{3}{2} \\ 5 = \frac{10}{2} \\ 5 = 5 \: \green{ \checkmark}$