linear equation

[Karrie1113]

Hello, I have a few algebraic equations that I need help solving. Please explain step by step the details for solving the equations.
1. 9-6(2z+1)=-3(4z-1)

2. ten times the smallest of 3 consecutive integers is 213 more than the sum of the other two integers. find the integers
3. bicyclist and jogger leave the gym at the same time. Bicyclist rides 6mph faster than the jogger. it takes the jogger 2 hr to complete the same distance as the bicyclist in 1 hour. find the speed of each person.

4. -2x-7 is greater than or equal to 5. graph this
5. -3/7a is less than or equal to -21. graph this

 

[mmm4444bot]

Please explain step by step the details for solving the equations.

Your teacher should have already explained the steps.

Your textbook also explains the steps.

If you don't understand the steps getting it from them, you're probably not going to understand a list of steps from me, either.

The Free Math Help boards do not comprise an on-line classroom. It would be better for everybody if you study your lessons and then post specific questions about the parts in your lessons that you do not understand.

Hi Karrie:

I don't know what you've already learned because you did not post any of your work.

I will attempt to guide you through the first exercise, but you need to do the work.

9 - 6(2z + 1) = -3(4z - 1)

The first step is to get rid of the parentheses.

Use the Distributive Property, and show me what you get.

We'll go from there.

The Distributive Property tells us the following:

A(B + C) = A*B + A*C

In other words, multiplying some number A times some sum (B+C) is the same as multiplying each of the numbers inside the parentheses by A.

EG:

-7(x - 5)

Both of the numbers inside the parentheses get multiplied by -7.

-7(x - 5) = (-7)(x) + (-7)(-5)

-7(x - 5) = -7x + 35

Again, the first step in solving the following equation is to get rid of the parentheses.

9 - 6(2z + 1) = -3(4z - 1)

Please try using the Distributive Property, and show me what you get. We'll go from there.

There are some videos at The Khan Academy on how to solve linear equations. Scroll down to the Algebra section, and watch the first four videos (they are short).

There are also many written lessons and examples at Purplemath.

I welcome any SPECIFIC questions that you have.

Cheers ~ Mark

 

[Denis]

1. 9-6(2z+1)=-3(4z-1)

Can you at least complete this part: -6(2z + 1) ?