Hi Mike… QAS March 2021, Section 3, # 20. Since “no solution,” can you consider each side a separate parallel line & use corresponding coefficients to confirm that k must equal 1/2? Or, what’s the best way to solve?

1/2x + 5 = kx + 7

In the given equation, k is a constant. The equation has no solution. What is the value of k?

Yes, the way you describe is perfect and exactly how I’d go about it! No solutions means the lines y=\dfrac{1}{2}x+5 and y=kx+7 will never intersect, which means they must have the same slope! So you know k=\dfrac{1}[2}/

Leave a Reply