Question 654502

{{{-2x +6y =-38}}}...1

{{{3x -4y=32}}}.........2
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{{{-2x +6y =-38}}}...1..solve for {{{y}}}

{{{6y =2x-38}}}

{{{y =2x/6-38/6}}}

{{{y =x/3-6.33}}}..plug it in 2

{{{3x -4(x/3-6.33)=32}}}.........2..solve for {{{x}}}

{{{3x -4x/3-4(-6.33)=32}}}

{{{3x -4x/3+25.32=32}}}

{{{3x -4x/3=32-25.32}}}

{{{(3*3x -4x)/3=6.68}}}

{{{9x -4x=6.68*3}}}


{{{5x=20.04}}}...round to whole number

{{{x=20/5}}}

{{{highlight(x=4)}}}

now we can find {{{y}}}

{{{y =x/3-6.33}}}

{{{y =4/3-6.33}}}

{{{y =1.33-6.33}}}

{{{highlight(y =-5)}}}

let's see it on a graph:



{{{ graph( 600,600, -10, 10, -10, 10, x/3-6.33, 3x/4 -8) }}}



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