SOLUTION: -2x +6y =-38 3x -4y=32 what is the x coordinate of the solution to the system??

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Question 654502: -2x +6y =-38
3x -4y=32 what is the x coordinate of the solution to the system??
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-2x+%2B6y+=-38...1
3x+-4y=32.........2
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-2x+%2B6y+=-38...1..solve for y
6y+=2x-38
y+=2x%2F6-38%2F6
y+=x%2F3-6.33..plug it in 2
3x+-4%28x%2F3-6.33%29=32.........2..solve for x
3x+-4x%2F3-4%28-6.33%29=32
3x+-4x%2F3%2B25.32=32
3x+-4x%2F3=32-25.32
%283%2A3x+-4x%29%2F3=6.68
9x+-4x=6.68%2A3

5x=20.04...round to whole number
x=20%2F5
highlight%28x=4%29
now we can find y
y+=x%2F3-6.33
y+=4%2F3-6.33
y+=1.33-6.33
highlight%28y+=-5%29
let's see it on a graph:


+graph%28+600%2C600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F3-6.33%2C+3x%2F4+-8%29+


so, the x coordinate of the solution to the system is 4