Day 3: Solving Literal equations

Write down the solution after doing the first step in the equation 6x+3y=-12 if you are solving for Y

3y=-12-6x You would get this answer by subtracting 6x on both sides. This will be the first of 2 steps to solve the given equation

equation

A mathematical sentence that contains an equals sign.

Variable

A symbol used to represent a quantity that can change

Write down the equation after doing the second step to this problem 6x+3y=-12

After subtracting both sides by 6x you answer should look like this y=-4-2x. This is the final answer because it cannot be further simplified

What is the equation after solving the first step of the problem C=2πr solve for r

For this problem you have to know that if numbers or letters are right next to each other they are getting multiplied so if you need to solve for r you need to divide. In this case you need to divide both sides of the equation by 2π to leave r by itself. To conclude the final answer is r=C/2π.

What do you do for the first step in The formula F = 9/5C + 32 converts temperatures from Celsius, C, to Fahrenheit, F. Solve the formula for C.

The first step of the equation is to subtract 32 from both sides making the equation F-32=9/5C.

What is the second step in the equation F = 9/5C + 32 when solving for C

The second step in this equation would be to multiply each side by 5/9. You multiply by this number because it is the reciprocal of 9/5 and anything multiplied by its reciprocal cancels. So the equation would be (5/9)(f - 32) = (5/9)(9/5)c.

What is the third step in this equation if it is F = 9/5C + 32 when solving for C

The third step is to simplify this to an easier equation. You do this by doing the multiplication on each side so it will be a more simple and easy equation to solve. The equation is (5/9)(f - 32) = c

What is the last and final step for the equation if it is F = 9/5C + 32 when solving for C

To final step in this problem is to further simplify the equation. You can do this by multiplying f by 5/9 and 32 by 5/9. The final equation will come to 5/9f-17 7/9=c. If you want to check your answer you can simply do everything in reverse and see if you get back to the original equation

literal equation

an equation involving two or more variables