Question 74366
{{{4x - y = -3}}}
{{{y - 3 = 4x}}}
{{{y = 4x+3}}}Solve the 2nd equation for y. Plug this into the 1st equation
{{{4x - (4x+3) = -3}}}
{{{cross(4x - 4x)-3 = -3}}}
{{{-3=-3}}}
This answer shows us that any x will give us a solution. For instance let x=1
{{{y - 3 = 4(1)}}}
{{{y = 4+3}}}
{{{y = 7}}}
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Check:
{{{4(1) - 7 = -3}}}Plug in (1,7)
{{{7 - 3 = 4(1)}}}
{{{-3 = -3}}}Works
{{{4 = 4}}}Works
So (1,7) is a solution. If we pick any number for x, we can get y. So our solution  set is (x,4x+3). This means there are an infinite number of solutions. This is simply because the equations are the same line (try to solve for y for each of them).