Question

How many solutions are there to the following system of equations?

5x + 3y = 7
2x – y = 2

Answer 1

two solutions

Answer 2

For a equation in this form; Ax + By + C =0
slope of the line = -A/B
y-int = -C/B

5x + 3y = 7 => 5x+3y-7 = 0 -(1)
2x – y = 2 => 2x-y-2 =0 -(2)

So, slope of equation (1) = -5/3
y-int of equation (1) = -(-7/3) = 7/3

and slope and y-int of equation (2) = ...???

If they have same slope, different y-int, they are // lines => no intercepts
If they have same slope, and same y-int, they are the same line => infinitely many intercepts
If they have different slope, they are not // lines => 1 intercept

Can you work out the answer now?

Answer 3

Of course, another way to do it is to solve the equations :|

Answer 4

how can their be two solutions to points on different straight lines?

Answer 5

clearly m is different , hence there is only one solution

Answer 6

the given lines are having two solutions as they aquire diffrent slope..:) so their values of x and y are different..:)

Answer 7

two solutions? that would be a miracle

Answer 8

5x+3y=7
2x- y =2
take the coeficiets of first terms multiply first with secod and
second with first alternatively you will get
10x+6y=14
10x-5y=10

change the sign
10x+6y=14
-10x+5y=-10
=========
0+11y=4
y=4/11

now put this value in any equation to get value of x

Answer 9

can you draw two straight lines with different slops that intersect twice @sugargurl ?

Answer 10

the choices are

1) one solution (lines intersect at a point)
2) no solutions (lines are parallel, and do not intersect)
3) infinitely many solutions (it is really the same line)

two solutions is not an option

Answer 11

yes unklerhaukas u r correct sorry i was wrong thanks for correcting me,,:)

Answer 12

The first one answer is correct

Answer 13

Graph of your question

Answer 14

d=(v^2/g)*sin2theta

Answer 15

Well the answers were: A) 0, B) 1, C) 2, D) no solutions it's kinda late but yea thanks everyone :)