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:
a1​x+b1​y+c1​=0 and
a2​x+b2​y+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.