To determine the number of solutions, we can rewrite the first equation as x = 4y + 12 and substitute it into the second equation:
5x – 20y = 60
5(4y + 12) – 20y = 60
20y + 60 – 20y = 60
60 = 60
The equation simplifies to 60 = 60, which means that the equation is true regardless of the value of y. Therefore, the system of equations has infinitely many solutions.
How many solutions does the system of equations have? x – 4y = 12 and 5x – 20y = 60 (1 point) Responses one one two two infinitely many infinitely many none
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1 answer