Can you solve this?

Question

-3x+3y=4,-x+y=3

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Answer 1 · 2018-07-20T01:29:31

First, you have to solve for either #x# or #y#, in this, I would solve for #y# using the second equation.

Add #x# to both sides:
#y=x-3#

Now plug this #y# value into the first equation:
#-3x+3(x-3)=4#

Solve for #x#:
#-9=4#

Since we get an answer that is not possible, there are no solutions to this problem, and the answer is no solution.

Answer 2 · 2018-07-20T01:55:40

Both equations have the same slope, #1#. So they are parallel and there is no solution.

Equation 1: #-3x+3y=4#

Equation 2: #-x+y=3#

Convert both equations into slope-intercept form by solving for #y#.

Equation 1

#3y=3x+4#

Divide both sides by #3#.

#y=(3x)/3+4/3#

#y=x+4/3#

Equation 2

#y=x+3#

Both equations have the same slope, #1#. So they are parallel and there is no solution.

graph{(-3x+3y-4)(-x+y-3)=0 [-10, 10, -5, 5]}