Maybe you were playing hide-and-seek or sitting real still behind someone else so you wouldn't be seen. For example: When solving a system of coincident lines, the resulting equation will be without variables and the statement will be true. If the lines that the equations represent are coincident (i.e., the same), then the solution includes every point on the line so there are infinitely many solutions. Also, download BYJU’S – The Learning App today! A system of equations that has at least one solution is called a consistent system. ⓐ … Ex 3.2, 2 On comparing the ratios 1/2 , 1/2 & 1/2 , find out whether the lines representing the following pair of linear equations intersect at a point, parallel or coincident 5x – 4y + 8 = 0 ; 7x + 6y – 9 = 0 5x – 4y + 8 = 0 7x + 6y – 9 = 0 5x – 4y + 8 = 0 Comparing with a1x + b1y + Example: these two lines are coincident, only you can't see them both, because they are on top of each other! First, we drew a line of purple color and then on top of it drew another line of black color. Sometimes can be difficult to spot them if the equation is in implicit form: ax+ by = c. Slope of two parallel lines - definition. The lines are coincident: coincident lines refer to two lines overlapping over each other. Parallel lines do not have points in common while coincident ones have ALL points in common!!! Question 4. Go through the example given below to understand how to use the formula of coincident lines. How do you determine how many solutions #x=2# and #2x+y=1# has? 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