Question

by substitution method 6 x minus 2 Y + 10 equal to zero 2 x minus y + 9 = 0 class 10th​

Answer 1

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

❥ Given equations

$6x-2y+10 = 0\\\implies 6x-2y = -10\\\implies 6x = -10 + 2y\\\implies 3x = -5 + y\\\implies y = 3x+5 --(1)$

$2x-y + 9 = 0\\\implies -y = -9-2x\\\implies y = 9 + 2x -- (2)$

❥ Solving,

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we get,

$3x+5=9+2x\\3x-2x=9-5\\x=4$

$\implies y = 9 + 2(4) = 9 + 8 = 17$

❥ Therefore,

The values of x and y are 4 and 17 respectively.

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Answer 2

Answer:

6x - 2y + 10 = 0

2x - y + 9 = 0

6x - 2y = - 10.....(1)

2x - y = -9.....(2)

Multiply equation (2) by 2,

4x - 2y = -18 ....(3)

Subtracting equation (3) from (1)

6x - 2y = -10

4x - 2y = -18

+ +

___________

2x = 8

x = 8/2

x = 4

Putting the value of x in equation (2)

2x - y = -9

2(4) - y = -9

8 - y = -9

- y = -9 -8

- y = -17

y = 17

Step-by-step explanation:

Solution (x,y) = (4, 17)