1.

{{:(hx +4y=-10),(kx +3y=-15):} If the graphs of the lines in the system of equations above intersect at (-3,1), what is the value of k /h ?

Answer»

`1/3`
2
3
6

Solution :IF the graphs intersect at
`(-3,1),` then the solution to the system is `x =-3and y =1.` Substitute these values into both equations and go from there :
`HX -4y=-10""kx + 3y=-15`
`H (-3) -4 (1) =-10"" k (-3)+3 (1) =-15`
`-3h -4 =-10 "" -3k +3 =-15`
`-3h=-6 ""-3k=-18`
`h=2""k=6`
So, `k/h=6/2=3,` making (C ) correct.


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