Question

[6.01]Based on the graph of the following system of equations, determine the number of solutions.

2x + 3y = 9
6y = 5 − 4x

No solutions

Exactly one solution

Exactly two solutions

Infinitely many solutions

Answer 1

plot the graph and check out the point of intersection...you'll find the solution f int intersects

Answer 2

still dont get it sorry

Answer 3

just plot the graph of these two equations ...if they intersect somewhere ...you'll get the solution ...if they don't then there will be no solution

Answer 4

if they overlap then there will be infinite solutions

Answer 5

is it no solution?

Answer 6

okay..multiply first equation by 2 ans see what you get?

Answer 7

all numbers??? sorry im stressin and i gotta get this done b4 school starts tommarow

Answer 8

put both equations in y=mx+b form. That is, isolate y for both equations then plot them in an x y plane.

Answer 9

yeah i think its no solutions

Answer 10

see these are parallel lines....because if you'll multiply first equation by 2 you'll get the second equation ..with a difference in constant term...so can you guess now?

Answer 11

yeah its no solution cuz they will never touch

Answer 12

yes there is no solution

Answer 13

If they are parallel lines and the intercept values are not equal then there can be no solution.