Discover answers to your most pressing questions at Westonci.ca, the ultimate Q&A platform that connects you with expert solutions. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Determine how many solutions exist for the system of equations.

Y=2x-9
Y=-x+6


Sagot :

logo88
2x-9=-x+6
+x      +x
3x-9=6
    +9 +9
3x=15

x=5

therefore the equations have one solution (x=5)
since we want to find solutions that will work for both of the equations, we must  first assume that x and y are both the same in both so

y=2x-9
y=-x+6
we make the second equation negative by multiplying the whole thing by -1 and get
-y=x-6

add this to the first equation
y-y=x+2x-9-6
0=3x-15
add 15 to both sides
15=3x
divide both sides by 3
5=x

subsitute 5=x for x in the second equation

y=-x+6
y=-5+6
y=1