Question

Find a value of k for which the following system has only one solution:
2x+y=7
y−kx=3

You will be awarded 30 points!

Answer 1

K(cannot equal (the = sign with the line through it) -2
k(=/)-2

Answer 2

The value of k in the given equation −kx+y =3 is 2.

What is the Linear equation?

The Linear equation in one variable is an algebraic equation of degree one. it can be expressed in the form of Ax +B = 0 where x is a variable, and A and B are two integers.

here the given equation are 2x+y=7

y−kx=3

by rearranging the equation

2x+y =7

−kx+y =3

solving the equation, we get

2x + kx = 4

x (2 + k) =4

k = 4/x -2

The equation has only one solution if x = 1 then y = 5.

the value of k = 4-2

k = 2

Therefore, the value of k in the given equation −kx+y =3 is 2.

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