Question

is 2x-5y=10 and -2x=3y+6 infinite or no solution

Answer 1

i got no solution

Answer 2

Is it a system of equations? If so, simple to solve x = -15/8 and y = -3/4

Answer 3

yup

Answer 4

y=-2 and x=0 The system has a finite solution

Answer 5

Add the corresponding left hand and right hand sides of both the equations

Answer 6

I agree with atlas. It has a finite solution (y = -2, x=0). Here's a detailed solution:

You have these 2 equations:
\[Eq 1: 2x - 5y = 10\]\[Eq 2: -2x = 3y + 6\]

Now, subtract 3y to both sides of Eq2 to get:
\[Eq 1: 2x - 5y = 10\]\[Eq 2: -2x - 3y = 6\]

Add the corresponding sides of the equations:
\[(2x + (-2x)) + ((-5y) + (-3y)) = 10 + 6\]
and you'll get:
\[-8y = 16 \rightarrow y = -2\]

To get x, just substitute -2 to y in one of the equations, say in Eq1:
\[2x -5(-2) = 10\]\[2x + 10 = 10\]\[2x = 0\]\[x =0\]

You'll get the same result even if you do the substitution in Eq2. :)

Answer 7

kcpass ,u have given answer with accurate precision.