Question 935582
How many solutions does the system of equations have?

3x+12y=20

y=-1/4x+5/3
<pre>
Solve both equations for y, thereby placing them in slope-intercept form. Then inspect them.

3x + 12y = 20_____12y = - 3x + 20_____{{{y = (- 3x)/12 + 20/12}}}_____{{{y = (- 1/4)x + 5/3}}}
{{{y = (- 1/4)x + 5/3}}} ------ Already in slope-intercept form
As seen, the equations are IDENTICAL, thereby leading to an INFINITE NUMBER of solutions.