Question

Solve each system using substitution. Tell whether the system has one solution, infinitely many solutions, or no solution.

-x =+ y = -13
3x - y = 19

Answer 1

can u plz recheck your first equation

Answer 2

I don't think I typed anything wrong. this is what my question said soooo

Answer 3

hmm the fist equation says
-x =+ y = -13 ..there must only be one equal sign in a equation

Answer 4

I'm sorry,you're right. take out the equal sign

Answer 5

which equal sign

Answer 6

I'll retype the whole thing for you.

Solve each system using substitution. Tell whether the system has one solution, infinitely many solutions, or no solution.

-x + y = -13
3x - y = 19

Answer 7

lets make y the subject in the first equation
\[y=x-13\]
then lets 'substitute' x=13 into the second equation instead of the y
\[3x-(x-13)=19\]

Answer 8

\[3x-x+13=19\]

Answer 9

so whats the answer? :)

Answer 10

3x−x+13=19
\[2x=6\]
lets solve for x

Answer 11

get x alone distribute the negative then plug x into the other equation once you solve for y plug into other equation and solve

Answer 12

so at x=3. this means that at x=3 the graphs intersect

Answer 13

we can find the y coordinate by plugging in x=3 into any of the two original equations

Answer 14

What is your final answer (your coordinate) where the graphs intersect?

Answer 15

and from this u can tell how many times solutions this system of equations have (i.e how many intersections)