For what value(s) of k
will the lines 2x+ 7y= 14 and kx−y = k + 1 intersect in thefirst quadrant?
It is good that you solved for y in the 1st equation. Now do the same for the 2nd equation. Set the two y's equal to one another and solve for x.For what value(s) of k
will the lines 2x+ 7y= 14 and kx−y = k + 1 intersect in thefirst quadrant?
EDIT:
i've expressed y in terms of x in the first equation
y=2-(2x/7) and plugged it into the second
kx+(2x/7)=k+3
It is good that you solved for y in the 1st equation. Now do the same for the 2nd equation. Set the two y's equal to one another and solve for x.
What constraint do you want on x (it is to be in quadrant 1). Do this and get back to us with your result for a hint on the next part of this problem.