Question 93351
Questions:


I have a few more problems. Can you please show me how to solve these problems such as:
7(6-(-8)) = t/-4 +2,
4x+5 = 3x-3,
6y=5 = 4y-13,and
7p-8 = -4p+6.



Answer: 

2)  4x + 5 = 3x - 3 

 Subtract 3x from both sides....


==> 4x + 5 - 3x = 3x - 3 - 3x


==> x + 5 = -3


Subtract 5 from both sides...


==> x + 5 - 5 = -3 - 5


==> x = - 8, which is the solution.


To check your answer, substitute the value, x = -8 in the given expression.  Then you will get the same value on both sides of the equal sign.

3)Hope your question is like this... 6y + 5 = 4y - 13


6y + 5 = 4y - 13

subtract 4y from both sides..


6y + 5 - 4y = 4y - 13 - 4y


==> 2y + 5 =   - 13


Subtract 5 from both sides.


==> 2y + 5 - 5 = - 13 - 5



==> 2y = -18

Divide both sides by 2


==> {{{2y/2 = -18/2}}}



==> y = -9 , which is the solution.


To check your answer, substitute the value, y = -9, in the given expression.  Then you will get the same value on both sides of the equal sign.


4) 7p - 8 = -4p + 6.

Add 4p on both sides...


7p - 8 + 4p = -4p + 6 + 4p


11p - 8 = 6

Add 8 on both sides...


==> 11p - 8 + 8 = 6 + 8


==> 11p = 14


divide both sides by 11


==>  {{{ 11p/11 = 14/11}}}


==> {{{ p = 14/11}}}, hence the solution.


To check your answer, substitute the value, x = 11/14 in the given expression.  Then you will get the same value on both sides of the equal sign.


1) Hope your question is correct.

7(6-(-8)) = t/-4 +2,

{{{ 7(6-(-8)) = (t/-4) +2 }}}


==> {{{ 7(6+8)  = (t/-4) +2 }}}


==> {{{ 7(14)  = (t/-4) +2 }}}



==> {{{ 98  = (t/-4) +2 }}}


subtract 2 from both sides...


==> {{{ 98 - 2 = (t/-4) +2 - 2 }}}


==> {{{ 96  = (t/-4) }}}


Multiply both sides by -4


==> {{{ 96 * -4   = -4 *(t/-4) }}}


==> {{{ -384   =   t  }}}, which is the solution.


Please check your question once again.  I doubt in place of 6 it is t.  If so, proceed as I did in  rest of the questions.


Hope you found the explanation useful.


Regards.


Praseena.