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irina1246 [14]
2 years ago
10

Solve: 3x + 2y = 11 and 6x - 2y = 25.​

Mathematics
1 answer:
frosja888 [35]2 years ago
8 0

Answer:

x = 4, y = -0.5

or (4,-0.5)

Step-by-step explanation:

Given:

  • 3x + 2y = 11. . . (i)
  • 6x - 2y = 25. . . . (ii)

Solution:

Adding equations (i) and (ii):

==> (3x + 2y) + (6x - 2y) = 11 + 25

<em>2</em><em>y</em><em> </em><em>gets</em><em> </em><em>cancelled</em><em>:</em><em> </em>

==> 9x = 36

<em>dividing</em><em> </em><em>the</em><em> </em><em>equation</em><em> </em><em>by</em><em> </em><em>4</em><em>:</em>

==> x = 4

Substituting 4 for x in equation (i):

==> 3(4) + 2y = 11

==> 12 + 2y = 11

<em>subtracting 12 from both </em><em>sides</em><em>:</em>

==> 2y = 11 - 12

==> 2y = -1

<em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>by</em><em> </em><em>2</em><em>:</em>

==> y = -1/2

==> y = -0.5

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