This is the basic and exam oriented question from linear equations in two variables in which we have given two equations x+3y-4=0, 2x+6y-7=0 and we have to calculate the number of solutions of given equations
RS Aggarwal, Class 10, chapter 3F, question no 5
x+3y−4=0 and 2x+6y−7=0
These given equations are in the form:
a1x+b1y+c1=0 and
a2x+b2y+c2=0
Where
a1=1, b1=3 and c1=−4
a2=2, b2=6 and c2=−7
a1/a2=1/2, b1/b2=3/6=1/2, c1/c2=−4/−7=4/7
a1/a2=b1/b2≠c1/c2
System has no solution.