Question

please help How many solutions does it have?
-3x+7y=8/3x+5y
Does it have 2 or more than two?

Answer 1

Its -3x+ 7y = 8 / 3x+ 5y=6

Answer 2

Solve for y

Answer 3

y=14/12

Answer 4

if it can be solved for x and y is both two solutions?

Answer 5

So these are are system of equations?

Answer 6

yeah

Answer 7

I wanna know if its infitite solutions or just 2

Answer 8

So, let's call them equation 1 and equation 2 respectively, so, we'll have this:
\[[1] -3x+7y=8\]
\[[2] 3x+5y=6\]
Now, there are many ways to solve this type of linear system but I choose to use the method of reduction, which means that I will operate these two equations in such a way that I will leave only one variable, making it easier to solve for.
I will do that by adding them:
\[[1]+[2] \iff (-3x+7y)+(3x+5y)=14\]
\[12y=14\]
\[y=\frac{ 7 }{ 6 }\]
Look, the fact that we got a value for "y" implies that there is a fixed point as a solution, this means that it only has one solution.

Answer 9

I just want to know one thng I kinda know the answer

Answer 10

what if we multiply by 5 the first column wouldnt it give like x= 1/3?

Answer 11

Show me what you mean.

Answer 12

doesnt it give like -15 x + 35= 40 and then multiply for the second for -5 like
-15x- 35 = -30
-30x=10 x=-10/30 x=-1/3

Answer 13

I see, yes, that works as well.