Question 1157580
Solve (By elimination method)

{{{-4y-20=5x}}}.........eq.1
{{{-3x+15=-2y}}}........eq.2
-----------------------------------write in standard form

{{{-5x-4y=20}}}.........eq.1.......both sides multiply by {{{3}}}
{{{-3x+2y=-15}}}........eq.2.......both sides multiply by {{{5}}}
------------------------------------
{{{-15x-12y=60}}}.........eq.1
{{{-15x+10y=-75}}}........eq.2
-----------------------------------subtract eq.2 from eq.1


{{{-15x-12y-(-15x+10y)=60-(-75)}}}


{{{-15x-12y+15x-10y=60+75}}}.......eliminate {{{x}}}


{{{-22y=135}}}


{{{y=135/-22}}}


{{{highlight(y=-135/22)}}}-> exact solution


go to


{{{-4y-20=5x}}}.........eq.1, substitute {{{y}}}


{{{-4(-135/22)-20=5x}}}.........solve for {{{x}}}


{{{270/11-20=5x}}}


{{{50/11=5x}}}


{{{x=(50/11)/5}}}


{{{highlight(x=10/11)}}}