A coin purse contains d dimes and q quarters. There are 35 coins in the purse, and the total value of the coins is $5.60. Create the system of linear equations and use it to find how many dimes and quarters are in the purse.

step-by-step explanation:

this is not a question

47 - 90 = 43

43 - 180 = x

x = 137

option a is correct.

only one solution to the system of equations

step-by-step explanation:

if the graph of the equations do not intersects(i.,e if they are parallel) then, there are no solutions that are true for both the equations.

if the graph of the equations intersects, then there is one solution and that is true for both the equations.

since, in the given figure:

the two lines intersect each other

⇒there is only one solution which satisfy both the lines of an equations.

therefore, there is only one solution to the system of equation