SOLUTION: Good morning I'm stuck with the following problems! 4/5x -3= 2 7a+8b=5c solve for a find the x intercept: 7x+5y=3 solve: 3(2-x)> x+2

Algebra.Com
Question 79237: Good morning I'm stuck with the following problems!

4/5x -3= 2


7a+8b=5c solve for a


find the x intercept: 7x+5y=3


solve: 3(2-x)> x+2

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Good morning I'm stuck with the following problems! 

                 

Clear of fractions by multiplying every term by 5.
Use  to multiply by the first and use 
just  to multiply the other two terms by

            

              4x - 15 = 10

Add 15 to both sides

                   4x = 25

Divide both sides by 4

                  

                    


7a + 8b = 5c solve for a 

Isolate all terms with a on the left side.
Do this by subtracting 5b from both sides:

             7a = 5c - 8b

Draw a line under both sides and divide 
by 7

              }

Cancel the 7's on the left:
    
                }

Leave the answer just like that.

---------------------------------------

find the x intercept: 7x + 5y = 3 

To find the intercept for either letter
x or y, substitute 0 for the OTHER
letter and solve.

So we substitute 0 for the OTHER letter
y and solve for x.

       7x + 5y = 3
     7(0) + 5y = 3
        0 + 5y = 3
            5y = 3

Divide both sides by 5

            

                

---------------------------------

solve: 3(2 - x) > x + 2

         6 - 3x > x + 2

Get rid of the x on the right by 
subtracting x from both sides:

        6 - 4x > 2

Get rid of the 6 on the left by 
subtracting 6 from both sides

          -4x > -4 

Divide both sides by -4 remembering
the rules:

1. When you divide (or multiply) 
   both sides of an inequality
   by a NEGATIVE number, you MUST
   reverse the sign of inequality.

2. When you divide (or multiply) 
   both sides of an inequality
   by a POSITIVE number, you DO NOT
   reverse the sign of inequality.

This is the first case, so we
reverse the sign of inequality:

              
                
                x < 1

To write the solution is interval notation
we write:

               (-¥, 1)

Edwin

RELATED QUESTIONS

Please help with the FOLLOWING: Solve for x: 5x/4-3/2=7x/8 THANK... (answered by Alan3354)
Good Morning, I've been up most of the night with these problems,Please, please help me. (answered by 123king)
Good Morning: I am still working with back substitution to solve the system of linear... (answered by ankor@dixie-net.com)
Hi good day i'm having problems with a logarithmic equation: log X^4 - log X^3 = log... (answered by Alan3354)
I have several problems if you may help with. The following equations, I have to solve... (answered by jim_thompson5910)
how to solve the following problems: -3(a+2)-a -2(x+3)+2x 4x-4(2+x) 8a-2(a-7)... (answered by solver91311)
Good Morning Tutor, Could you tell me if I have these problems correct? Solve: (answered by MathLover1)
Good day may you please help me with the following question. solve the following pair... (answered by Boreal)
I have problems with a few sums 1. find the product of (2x+3)(2x-3)(x-3) 2.... (answered by cowgirl30)