How many solutions does the system of equations have? 4x = -12y + 16 and x + 3y = 4

Answer 1

4 x = -12 y + 16

Divide both sides by 4

x = - 3 y + 4

Add 3 y to both sides

x + 3 y = - 3 y + 4 + 3 y

x + 3 y = 4

This mean 4 x = -12 y + 16 and x + 3 y = 4 is the same equation.

Infinite number of solutions.

That is true of all values of x and y.