Question 55615
{{{ 3x+2y=4 }}}
{{{ y=1-2x }}}
Substitute the second equation into the first
{{{ 3x+2(1-2x)=4 }}}
Distribute
{{{ 3x+2 -4x =4 }}}
combine like terms on the left
{{{ 2 - 1x = 4 }}}
subtract 2 from both sides
{{{ -1x = 2 }}}
divide both sides by -1
{{{ x = -2 }}}


Plug this value bac into the 2nd equation
{{{ y=1-2x }}}
{{{ y=1-2(-2) }}}
Multiply
{{{ y=1+4 }}}
Add
{{{ y =5 }}}


The point of intersection of the two lines is (-2,5)