One solution Click to see full answer. Also, how many solutions does a linear equation in two variables have?The two lines in the system are converging as x increases and will eventually intersect, meaning that there is one solution for this system.Also Know, how many solutions does a pair of linear equations will have? The pair of linear equations is consistent and dependent. If then the pair of linear equations has exactly one solution. If then the pair of linear equations has infinitely many solutions. Also to know, can a linear system have two solutions? System of two linear equations can’t have exactly who solutions. Reason is that when we have two straight lines,they can only intersect at one point of intersection,no more. So to recap,system of two linear equations can have only one solution,they can’t have exactly two solutions.Is 2x 3y 7 linear?3. In particular, the set of solutions to 2x – 3y = 7 is a straight line. (This is why it’s called a linear equation.)

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