Question

Explain how you could use the work backward problem-solving strategy to solve the equation x/4-6=2

Answer 1

Hey there, Nancykkxx00!

To solve the equation
$x \div 4 - 6 = 2$
In backward problem-solving strategy, you first need to, if there are no parenthesis, either add or subtract first from both sides.
Here we have a negative 6 ( -6 ), so since we are doing it backwards, instead of subtracting 6, we are adding 6 to both sides.
$x \div 4 - 6 + 6 = 2 + 6$
$x \div 4 = 8$
( The six from the left side cancels out making it 0 )
Now we move to division. Since we are diving (we always have yo do the opposite of what we are doing), we need to multiply. So,
$x \div 4 \times 4 = 8 \times 4$
Always do it on both sides.
Now, we end up with
$x = 32$
If we plug it in, it will be like this
$(32) \div 4 - 6 = 2$
$8 - 6 = 2$
$2 = 2$

So, the answer is
$x = 32$

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