Question

I need help with these. Please show how you solved them!

Answer 1

Here is your equation:

$\frac{a}{7.6} +5.5=2.9$

You're trying to find a alone. That means you need to remove everything on the same side of it. The only number(decimal) on that side is positive(+) 5.5. To remove it, you have to do the opposite, which is negative(-)5.5. Negative 5.5 is the same as subtracting 5.5.

Subtract 5.5 from both sides:

$\frac{a}{7.6} +5.5-5.5 = 2.9-5.5 \\ \\ \frac{a}{7.6}=-2.6$

Here is your new equation:

$\frac{a}{7.6} = -2.6$

To find a, you have to do the opposite of what's happening to it. In the equation, a divided by 7.6 is -2.6. The opposite of division is multiplication, That means you have to multiply 7.6 by -2.6 to find a.

Multiply:

$a = 7.6 \times -2.6 = -19.76$

Your answer will be negative because a positive times a negative is a negative.

Your answer is -19.76 ; a = -19.76

★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★☆★

Here is your equation:

$1.7x = 2.04$

You're trying to find x alone. That means you have to remove everything on the same side of x. In the equation, x multiplied by 1.7 is 2.04. To find x, you have to do the opposite of what's happening to it. The opposite of multiplying is dividing. That means you need to divide both sides by 1.7 so that x will be alone.

Divide by 1.7:

$\frac{1.7x}{1.7} = \frac{2.04}{1.7} \\ \\ x=1.2$

Your answer is 1.2 ; x = 1.2