Question

If x = -3 and y = -k is a solution of the equation 7x – 3y = 0, find the value of k.​

Answer 1

Given :-

• x = -3 and y = -k is a solution of the equation 7x - 3y = 0.

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To find :-

• Value of k.

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Solution :-

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➲ We have the value of x and y, which are the solution of the given equation.

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By putting the value of x and y, we can find the value of k.

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$\tt:\implies{7(-3) - 3(-k) = 0}$

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$\tt:\implies{-21 + 3k = 0}$

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$\tt:\implies{3k = 21}$

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$\tt:\implies{k = \dfrac{21}{3}}$

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$\bf:\implies{k = 7}$

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Hence,

• Value of k is 7.

Answer 2

Given that,

• x = -3 and y = -k are the solution of the equation 7x - 3y = 0

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We've to find the value of k.

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Solution,

Put the value of x and y in the equation.

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$\tt:\implies \: 7x - 3y = 0$

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$\tt:\implies \: 7( - 3) - 3( - k) = 0$

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$\tt:\implies \: - 21 + 3k = 0$

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$\tt:\implies \: 3k = 21$

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$\tt:\implies \: k = \cancel \dfrac{21}{3}$

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$\tt:\implies \: k = \boxed{\boxed{\bold\purple{7}}}\bigstar$

Hence, the value of k is 7.