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Alex
3 years ago
5

Solve 5x − 6y = −38 3x + 4y = 0

Mathematics
1 answer:
Leto [7]3 years ago
7 0

Answer:

x = -76 , y = 57

Step-by-step explanation:

5x - 6y = -38

3x + 4y = 0

------------------

use 4 to multiply equation 1

5x(4) - 6y(4) = - 38(4)

20x -24y = -152

----------------------

use 6 to multiply equation 2

3x(6) + 4y(6) = 0(6)

18x + 24y = 0

------------------------

20x - 24y = -152

18x + 24y = 0

----------------------

2x = -152

----------------

divide 2 by both sides

x = -76

--------------------

to find y, slot in the of x to either equation 1 or 2

--------------------------------

equation 2

3x + 4y = 0

3(-76) + 4y = 0

------------------------

-228 + 4y = 0

4y = 228 - 0

4y = 228

---------------------

divide both sides by 4

----------------------------------

y = 57

for this type of question, you can use

  1. substitution method
  2. elimination method
  3. graphical method

i used substitution method

hope it helps

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