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Citrus2011 [14]
2 years ago
8

Yo! Solving linear equations with integers! These are just some practice exercises I need help with! So they should probably be

simple, I need these done asap, I’d appreciate work shown C:
1) - 4 + 3x = 4 x - 8
2) -5x - 8 = 2
3) 12 r - 14 = 5 ( 2 - r )
4) 3 x - 8 = - ( 17 + 2x)
Ty!

Mathematics
2 answers:
padilas [110]2 years ago
5 0

Answer:

1) x = 4

2) x = -2

3) r= \frac{24}{7}   (1\frac{7}{17})

4) x=-\frac{9}{5}  (-1\frac{4}{5})

Step-by-step explanation:

hope this helps!!

(work shown in photo :)  )

drek231 [11]2 years ago
3 0

Answer:

Step-by-step explanation:

<h3>Solving linear equation with one variable:</h3>

   1) -4 + 3x = 4x - 8

        Add 4 to both sides

      -4 + 3x + 4 = 4x - 8 +  4

               3x     = 4x - 4

Subtract 4x from both sides,

        3x - 4x = -4x + 4x - 4

              -x   = -4

                \sf \boxed{\bf x = 4}

2) -5x - 8 = 2

Add 8 to both sides

 -5x - 8 + 8 = 2 + 8

            -5x  = 10

Divide both sides by (-5)

            \sf \dfrac{-5}{-5}x =\dfrac{10}{-5}

                 \sf \boxed{\bf x = -2}

3) 12r - 14 = 5(2-r)

    12r - 14 = 5*2 - 5*r

     12r - 14 = 10 - 5r

Add 14 to both sides

 12r - 14 + 14 = 10 - 5r + 14

             12r  = 24 - 5r

Add 5r to both sides

        12r + 5r = 24

               17r = 24

Divide both sides by 17

                 r = 24/17

4) 3x - 8 = -(17 + 2x)

  3x - 8 = -17 - 2x

Add 8 to both sides

3x - 8 + 8 = -17 - 2x + 8

           3x = -9 - 2x

Add 2x to both sides

      3x + 2x = -9

            5x  = -9

Divide both sides by 5

              \sf \dfrac{5}{5}x=\dfrac{-9}{5}\\\\\boxed{x = \dfrac{-9}{5}}

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