SOLUTION: Can someone help me solve the system of equations by graphing? y= -x-12 4x - 3y= -13 Are they consistent?

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Question 457141: Can someone help me solve the system of equations by graphing?
y= -x-12
4x - 3y= -13
Are they consistent?

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Can someone help me solve the system of equations by graphing?
y= -x-12
4x - 3y= -13
Are they consistent?
..
rewrite:
y+x=-12
-3y+4x=-13
..
3y+3x=-36 (times first equation by 3)
-3y+4x=-13
add
7x=-49
x=-7
y=-12-x=-12-(-7)=12-7=-5
point of intersection (-7,-5)
System is consistent
see graph below as visual check on answer
..
+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+-x-12%2C4x%2F3%2B13%2F3%29+