Question 151863
3x-6y=30
y=-6x=34
Re-writing:
{{{3x-6y=30}}} ----------------------------> eqn 1
{{{y=-6x-34}}} ----------------------------> eqn 2
Substitute eqn 2 in eqn 1:
{{{3x-6(-6x-34)=30}}}
{{{3x+36x+204=30}}}
{{{39x=30-204}}}
{{{39x=-174}}} -----> {{{cross(39)*x/cross(39)=cross(-174)*4.4615385/cross(39)}}}
{{{x=-4.4615385}}}
For y in eqn 2:
{{{y=-6(-4.4615385)-34}}}
{{{y=-7.2307692}}}
To check via eqn 1:
{{{3(-4.4615385)-6(-7.2307692)=30}}}
{{{-13.384616+43.3841615=30}}}
{{{30=30}}}
Thank you,
Jojo