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elixir [45]
3 years ago
11

Solve the system by the elimination method? -5x-2y=2 6x-2y=24

Mathematics
2 answers:
Ivahew [28]3 years ago
4 0
X = 22
Make either x or y opposites and then solve.

Hope this helps.
Mnenie [13.5K]3 years ago
4 0
<span>-5x-2y=2
6x-2y=24

Notice that -2y appears in both equations.  Multiply the first equation by -1, obtaining 

5x + 2y = -2               and then adding the second equation to this result:
6x  -2t   = 24
-----------------
11x        = 22, so x = 2.  Now subst. 2 for x in either of the original equations to find the value of y.

6(2) - 2y = 2 becomes 2y = 12-2, or 2y = 10, or y = 5.

Solution is (2,5).  You MUST check this, however.</span>
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Answer:

35 and 36

Step-by-step explanation:

To solve this problem, we must interpret it line by line;

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   let the first number = x

               second number  = x + 1

  • one - fifth of first;

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for the "less" ;

         \frac{1}{5}x -  \frac{1}{9}(x + 1) = 3

Multiply through by 45

       45(\frac{1}{5}x) - (45) \frac{1}{9}(x + 1) = 3 x 45

           9x - 5(x + 1) = 135

           9x - 5x -5 = 135

             4x = 135 + 5

              4x = 140

                x = 35

Now, x+1  = 35 + 1 = 36

The consecutive integers are 35 and 36

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