How many solutions are there to the following system of equations?

2x + 6y = –12
10x + 32y = –62

Question

How many solutions are there to the following system of equations?

2x + 6y = –12
10x + 32y = –62

elonasushchik · Answer

3. How many solutions are there to the following system of equations? 
2x + 6y = –12 
10x + 32y = –62 

Answer:
y = -x/3 - 2 
y = -10x/32 - 62/32

elonasushchik · Answer

Medal and fan?! Thx

anonymous · Answer

thats not right

mathstudent55 · Answer

Since the first equation has 2x and the second equation has 10x, multiply the first equation by 5 on both sides:
10x + 30y = -60
The second equation is still:
10x + 32y = -62
Since the two equations don't have the same x coefficients and y coefficients (just the same x coefficients), they have different slopes. Therefore, they must intersect at one single point, so there is one solution.