Question

Determine whether the system of equations has one solution no solution or infinite solutions

-3x + y = 12
2y = 18x + 72

Answer 1

One solution

Explanation:

We can solve this system of equations by first simplifying the second equation by dividing both sides by 2:

y = 9x + 36

Now we can substitute this expression for y into the first equation:

-3x + (9x + 36) = 12

Simplifying the left-hand side:

6x + 36 = 12

Subtracting 36 from both sides:

6x = -24

Dividing both sides by 6:

x = -4

Now we can substitute this value for x into either equation to find the corresponding value of y:

-3(-4) + y = 12

12 + y = 12

y = 0

So the solution to the system of equations is (x, y) = (-4, 0).

Therefore, the system of equations has one unique solution.

Answer 2

नेपाल प्राकृतिक विविधताले भरिपूर्ण विश्वको सुन्दर मुलुक हो।