Math
posted by Rachel .
i) The two lines 4x6y=5, and 7x+6y=7 intersect at the point where x= and y=?
ii) If the line 7x+ky=7 is parallel to 4x6y=5, then what is the value of k? Answer: k = ?

The two equations are easy to solve, just add up the two equations and the y term will drop out to get
11x = 2
x = 2/11
sub back into the second (or the first) to get
7(2/11) + 6y = 7
times 11
14 + 66y = 77
66y = 63
y = 63/66 = 21/22
slope of first line = 7/k
slope of 2nd line = 4/6 = 2/3
so 7/k = 2/3
crossmultiply
2k = 21
k = 21/2
Respond to this Question
Similar Questions

Algebra
If you have these three origins: (0,0) (0,952) (863,0) How do you find the last point where the two lines intersect? 
Algebra 1
1. Which line is the flattest (or is less steep)? 
math
In the xyplane, line l passes through the origin and is perpendicular to the line 4x+y=k, where k is a constant. If the two lines intersect at the point (t,t+1), what is the value of t? 
math 214
A student claims that if any two planes that do not intersect are parallel, then any two lines that do not intersect should also be parallel. How do you respond? 
geometry
Martin drew a pair of perpendicular lines and a pair of parallel lines. Which of these statements best compares the pairs of perpendicular and parallel lines? 
math
In the xyplane, lines a and b intersect at point (5,2), and lines b and c intersect at point (3,3). What is the slope of line b? 
math
19. Which statement describes the relationship between the line graphs of the equations below? 
math
If you 99 lines on a piece of paper so that no two lines are parallel to each other and no three lines pass through the same point, how many times will they intersect? 
math
if you 99 lines on a piece of paper so that no two lines are parallel to each other and mo three lines pass through the same point,how many times will they intersect? 
SAT MATH
In the xyplane, line m passes through the origin and is perpendicular to the line 8x3y=n, where n is a constant. If the two lines intersect at the point (r, r2), what is the value of r?