Question

2) x+7y = 10; 3x-2y=7 solve the simultaneouse equation​

Answer 1

Answer:

x=3,y=1

Step-by-step explanation:

x+7y-10=0-----A

3x-2y-7=0----B

3A-B

3x+21y-30=0

3x-2y-7=0

- + +

__________

0+ 23y-23=0

___________

y=1

2A+7B

2x+14y-20=0

21x-14y-49=0

___________

23x -69=0

____________

x=3

x=3,y=1

hope this helps you

Answer 2

Given Equation

• x + 7y = 10⠀⠀.....[1]
• 3x - 2y = 7⠀⠀......[2]

Solution

$\sf\pink{⟶}$ Multiplying 3 to Equation [1]

$\tt\longmapsto{3x + 21y = 30}$⠀⠀....[3]

⠀

$\sf\pink{⟶}$ Subtracting eq[2] from eq[3]

$\tt:\implies{\cancel{3x} + 21y = 30}$

$\tt:\implies{\cancel{3x} - 2y = 7}$

★ We get

$\tt:\implies\: \: \: \: \: \: \: \: {23y = 23}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {y = \cancel{\dfrac{23}{23}}}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {y = 1}$

⠀

★ Putting the value of y in equation [1]

$\tt:\implies\: \: \: \: \: \: \: \: {x + 7(1) = 10}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = 10 - 7}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {x = 3}$

⠀

$\sf\pink{⟶}$ Hence, the values of

• x = 3
• y = 1

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