The lines 2x + ky = 3 and kx + 8y = 7 intersect for all values of k except 4 and -4 the answer is R - {4, -4}.
What is a linear equation?
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Two linear equations in two variables are:
2x + ky = 3 and
kx + 8y = 7
As we know the condition for the lines to intersect or have unique solutions:
2/k ≠ k/8
After cross multiplication:
k² ≠ 16
k ≠ ±4
The values of k can be anything except 4 and - 4
Thus, the lines 2x + ky = 3 and kx + 8y = 7 intersect for all values of k except 4 and -4 the answer is R - {4, -4}.
Learn more about the linear equation here:
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