We can replace the inequality with qual sign: 2x - y = 4 x + y = -1 We can combine both question 3x = 3 x = 1 Since we know x = 1, we can solve for y by plug in in either equation: x + y = -1 1 + y =-1 y = -2 or 2x - y = 4 2(1) - y = 4 -y = 2 y = -2
So the solution of this system of equation is the coordinate (1, -2)
Thus, by the problem statement, the number of dimes is [/tex] 8 \cdot x = 8x. [/tex]
Therefore, there are coins in total. To find what is, we need to solve the equation This can be done by dividing both sides by which gives . Plugging these values in tells us that there are nickels and dimes. (Test it out!) Thus, the nickels are worth cents and the dimes are worth cents, so in all, you have cents which is $1.70.