Question

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
2x− y= 5
3x+ y=−6

Answer 1

Add the two equations and solve for x.

Answer 2

add them? im not supposed to solve?

Answer 3

i meant the first one

Answer 4

Adding the two equations will give you an equation in just x. Then, you can solve for x. Using that value of x, you can solve for y.

Answer 5

5x+y=-1

Answer 6

?

Answer 7

5x = -1
Remember, y and -y zero out.

Answer 8

so now what do i do?

Answer 9

only one solution

Answer 10

The two equations do not have the same slope. So they are not parallel.
The two equations are not the same equation. so they are not the same line.
Therefore, they intersect in 1 point and there is 1 solution.

Answer 11

how do i go about finding the points they intersect at?

Answer 12

Solve the system using either elimination or substitution.

Answer 13

5x = -1
So, x = -1/5.

Plug this value of x in one of the equations. You will get an equation in y. Solve for y.

Answer 14

the fraction messes me up

Answer 15

does that equal out to .5?

Answer 16

is y 3?

Answer 17

No. 1/5 = .2