Question 150730
1.{{{4x+3y=-28}}}
2.{{{5x-6y =-35}}}
If we multiply eq.1 by (2) and add to eq. 2, we will eliminate y.
1.{{{2(4x+3y)=-56}}}
1.{{{8x+6y=-56}}}
Now add to eq. 2,
{{{5x-6y+8x+6y =-35-56}}}
{{{13x=-91}}}
{{{x=-7}}}
Now substitute into either eq. 1 or eq. 2 to solve for x,
{{{4x+3y=-28}}}
{{{4(-7)+3y=-28}}}
{{{-28+3y=-28}}}
{{{3y=0}}}
{{{y=0}}}
The solution is (-7,0).
The answer can be verified by graphing the equations.
{{{ graph( 300, 300, -10, 10, -10, 10, (-28-4x)/3, (5x+35)/6) }}}