SOLUTION: Solve the system of the equations by graphing. Then classify the system. 3x-y=24 3x+4y=-6

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Question 243533: Solve the system of the equations by graphing. Then classify the system.
3x-y=24
3x+4y=-6
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
First, get both equations into y = mx + b format.
.
3x -y = 24
Add y to both sides
3x = 24 + y = y + 24
Subtract 24 from both sides
3x - 24 = y
y = 3x - 24
.
3x + 4y = -6
Subtract 3x from both sides
4y = -6 - 3x = -3x - 6
Divide by 4
y+=+-%283x%29%2F4+-%286%2F4%29+=+-%283%2F4%29x+-+6%2F4+=+-%283%2F4%29x+-+3%2F2
.
Graph:
.
%0D%0Agraph%28500%2C500%2C-10%2C10%2C-30%2C10%2C3%2Ax-24%2C-3%2F4%2Ax-3%2F2%29%0D%0A
.
The lines intersect, so we know the system of equations have a solution, so they're consistent. That they have only a single solution means they are independent.