Question 91569
Solve by substition:
{{{4x-12y = 5}}}
{{{-x+3y = -1}}} Rewrite this as:{{{x = 3y+1}}} and substitute into the first equation, then solve for y.
{{{4(3y+1)- 12y = 5}}} Apply the distributive property.
{{{12y+4-12y = 5}}} Subtract 4 from both sides.
{{{12y-12y = 1}}} Combine like-terms.
{{{0 = 1}}} Inconsistent!
This system has no solution, it is an inconsistent system.
The graphs of the lines represented by these two equations are parallel, they have no points in common.
{{{graph(600,400,-5,5,-5,5,(1/3)x+5/12,(1/3)x-1/3)}}}