Question 170332
Solve by the substitution method 
{{{system(-5x - 4y = -48, -3x + 2y = 2)}}}
<pre><font size = 4 color = "indigo"><b>
Solve either equations for either letter:

I'll solve the first equation for the first letter, x

{{{matrix(3,1,
      -5x-4y=-48,
         -5x=-48+4y,
           x=(-48+4y)/(-5))}}}

Substitute {{{(-48+4y)/(-5))}}} for x in the
second equation:

{{{matrix(10,1,      -3x+2y=2,
      -3((-48+4y)/(-5))+2y=2,
      "multiply_thru_by_-5", 
      -3(-48+4y)-10y=-10,
     144-12y-10y=-10,
      144-22y=-10,
         -22y=-10-144,
         -22y=-154,
            y=(-154)/(-22),
            y=7)}}} 

Substitute 7 for y into

{{{matrix(5,1,
x=(-48+4y)/(-5),
x=(-48+4(7))/(-5),
x=(-48+28)/(-5),
x=(-20)/(-5),
x=4 )}}}

{{{matrix(1,11,  "(", x ,",", y, ")", "=", "(", 4, ",", 7, ")")}}}

Edwin</pre>