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(2x + 12y = −17) (3x + 2y = 7) value of x and y

User JJF
by
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1 Answer

3 votes

Answer:

x = (59/16)

y = (-65/32)

Explanation:

2x + 12y = −17

3x + 2y = 7

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

(2x + 12y = −17) × 3

6x + 36y = -51

(3x + 2y = 7) × -2

-6x - 4y = -14

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

6x + 36y = -51

-6x - 4y = -14

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

32y = -65

÷32 ÷32

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

y = (-65/32)

3x + 2y = 7

3x + 2(-65/32) = 7

3x - (65/16) = 7

+(65/16) +(65/16)

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

3x = (177/16)

÷3 ÷3

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

x = (59/16)

I hope this helps!

User Walter Mundt
by
8.3k points

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