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3 years ago

What is the value of k if the line 5x+ky=12 passes through the point (2,-1).

Mathematics

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

k = -2

Step-by-step explanation:

1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.

5x + ky = 12

5(2) + k(-1) = 12

2. Simplify

5(2) + k(-1) = 12

10 + (-k) = 12

10 - k = 12

2. Isolate k

10 - k = 12

-k = 12-10

-k = 2 <= here multiply both sides by (-1)

k = -2

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Question 8 (2 points)

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$\mathbf{x=\frac{1}{2}}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

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Step-by-step explanation:

We need to determine if $x=\frac{1}{2}$ is the solution to the equation: $4x+12-8x=-1+2x+10$

Solving the equation first to find value of x

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