Question

3) If 2x + 3y = 5 and 3x - 2y =14 , find the value of
у
a) 4
b) - 4
d) - 5
c) 3​

Answer 1

Answer:

2x + 3y - 5 = 0

=> 6x + 9y - 15 = 0.........(1)

3x - 2y - 14 = 0

=> 6x - 4y - 28 = 0 .........(2)

Subtracting both equations,

6x + 9y - 15 - (6x - 4y - 28) = 0 - 0

=> 13y + 13 = 0

=> 13y = - 13

=> y = -1

Putting y = -1,

2x + (3 × -1) - 5 = 0

=> 2x - 3 = 5

=> 2x = 8

=> x = 4

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Step-by-step explanation:

Answer 2

Answer:

2x + 3y = 5

2x = 5-3y

x = 5-3y/2

3x-2y = 14

3x = 14+2y

x = 14+2y/3

5-3y/2 = 14+2y/3

3(5-3y) = 2(14+2y)

15-9y = 28+4y

15-28 = 4y+9y

-13 = 13y

y = -13/13

y = -1

x = 5-3y/2

x = 5-(3)(-1)/2

x = 5+3/2

x = 8/2

x = 4

So, x = 4 and y = -1.