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Help please now please

it says “ find the solution of the system of equations” and this is elimination, the two equations are
-3x-7y=18
9x+2y=3

Help please now please it says “ find the solution of the system of equations” and-example-1
User Astraujums
by
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2 Answers

6 votes
The answer is (1,-3) .

Step-by-step explanation:

-3x - 7y = 18 .................. (1)
9x + 2y = 3 ................... (2)

From (1):
-3x - 7y = 18

-18 = 3x + 7y

3x + 7y = -18 ..................... (3)


(3) x 2:
9x + 21y = -54 ................... (4)


(4) - (3):
9x + 21y = -54 ....... (4)
-) 9x + 2y = 3 ........... (3)
____________________

0x + 19y = -56

19y = -56

y = -3


Sub y = -3 into (2)
9x + 2(-3) = 3

9x - 6 = 3

9x = 3 + 6

9x = 9

x = 1


The answer is (1,-3).


Hope this helps.
User Asmb
by
4.7k points
7 votes

Answer:

(-13, -3)

Step-by-step explanation:

Elimination is used to get either the y or the x to cancel out in both equations. In this case, you'd have to multiply the first equation by -3, so it would be 9x + 21y = -54. Now that you did that, you can "subtract" the two equations. 9x - 9x = 0 (they cancel each other out). 21y - 2y = 19y. -54 - 3 = -57. Now that we're left with 19y = -57, let's find out what y is by solving out the equation. The answer would be y = -3. Now that we have this info, we can substitute the y in one of the two equations to find the x. I'm going to use the first equation. -3x - 7(-3) = 18 --> -3x + 21 = 18 --> -3x = 39. The result is x = -13. Therefore, the answer is (-13, -3).

User Rami Nour
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