Question

For what value of k, the linear equation 2x+ky=8 has x=2 and y=1 as its solution.

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

To find the value of 'k' we will substitute the values of 'x' and 'y' and then will solve the simplified equation.

Here the values of 'x' and 'y' are ⇒

• x = 2

• y = 1

Now we will place the value of 'x' and 'y' in brackets where ever it is there.

⇒ 2x + ky = 8

⇒ 2(2) + k(1) = 8

⇒ 4 + k = 8

Now we have to solve the simplified equation which is ⇒ 4 + k = 8

Let's solve your equation step-by-step.

4 + k = 8

Step 1: Subtract 4 from both sides of the equation.

⇒ 4 + k = 8

⇒ 4 + k - 4 = 8 - 4

⇒ k = 4

∴ The value of 'k' is 4.