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likoan [24]
2 years ago
10

Write y+7 = 2/3 (4x-6) in standard form using integers

Mathematics
1 answer:
Marrrta [24]2 years ago
4 0

9514 1404 393

Answer:

  8x -3y = 33

Step-by-step explanation:

Multiply by 3 to eliminate the fraction. Then rearrange to standard form.

  y +7 = 2/3(4x -6) . . . . . . . given

  3(y +7) = 2(4x -6) . . . . . . . multiply by 3

  3y +21 = 8x -12 . . . . . . . . eliminate parentheses

  33 = 8x -3y . . . . . . . . . . add 12-3y to both sides

  8x -3y = 33 . . . . . . . . . swap sides to put into standard form

_____

Standard form has mutually prime integer coefficients, the leading one being positive.

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Solve the system by elimination. <br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
KengaRu [80]
-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0 → 2x - 2y - 3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -  1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5            -3y - 2z = -3

-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -   1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5 → 2x + 3y + 3z = 5
                                                                           -2y - 4z = -2

-3y - 2z = -3 → -6y - 4z = -6
-2y - 4z = -2 → -2y - 4z = -2
                                 -4y = -4
                                  -4     -4
                                     y = 1

  -3y - 2z = -3
-3(1) - 2z = -3
   -3 - 2z = -3
 + 3          + 3
         -2z = 0
          -2    -2
            z = 0

    -2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
       -2x + 2 + 0 = 0
             -2x + 2 = 0
                    - 2  - 2
                    -2x = -2
                     -2     -2
                       x = 1
              (x, y, z) = (1, 1, 0)
8 0
3 years ago
Eight Divided by 534
valentina_108 [34]
<span>Answer : 0.0149812734

8 </span>÷ 534 = 0.0149812734
Hope this Helps :)


3 0
3 years ago
15% of a mass is 45 g. Calculate 20% of the mass
ira [324]
What is 100% of the mass ?

4 0
3 years ago
Read 2 more answers
3q - 16q = 7 + 2(-89 – 3)
levacccp [35]

Answer:

q = 177/13

Step-by-step explanation:

3q - 16q = 7 + 2(-89 – 3)

-13q = 7 + 2(-92)

-13q = 7 - 184

-13q = -177

q = (-177)/(-13)

q = 177/13

3 0
3 years ago
PLEASE HELP ME ASAP!!!!!!!<br><br><br> ty! :)
Allisa [31]

Answer:

Infinite Solutions

Step-by-step explanation:

The lines overlap each other.

6 0
2 years ago
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