How many solutions does the following system have?
3x+2y=1
-9x-6y=3
a. infinitely many solutions
b. two solutions
c. one solution
d. no solutions

Option D. No solutions

Step-by-step explanation:

we have

-----> equation A

----> equation B

Multiply by -3 both sides equation A

-----> equation C

Compare equation B and equation C

Equation B and equation C are parallel lines with different y-intercept

Verify

For x=0

Equation C

----->

The y-intercept is the point (0,0.5)

Equation B

----->

The y-intercept is the point (0,-0.5)

therefore

Lines do not intersect

The system has no solution

see the attached figure to better understand the problem

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.

3/5

step-by-step explanation:

double number line is not a standard concept, so it must have been defined in your textbook. assume top line is numerator.