Aset of triangular and square tiles contains 50 pieces and 170 sides. write a system of equations to represent this situation. then solve the system to determine how many triangular and how many square tiles there are.

30 triangular tiles and 20 square tiles

Step-by-step explanation:

A triangular tile has three sides, a square tile has 4 sides.

Let x be the number of triangular tiles and y be the number of square tiles.  A set of triangular and square tiles contains 50 pieces, then

x+y=50

There are 3x sides in all triangular tiles and 4y sides in all square tiles. The set of triangular and square tiles contains 170 sides, so

3x+4y=170.

Hence, the system of two equations is

From the first equation

Substitute it into the second equation:

Thus,

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18