How many solutions does this system of equations have ??
y= 4x + 3 and 2y - 8x =3
2 (4x+3) - 8 x = 3
8 x + 6 - 8 x = 3
0 x = - 3
oh my, division by zero
try
y = 4x + 3
and
y = 4x + 3/2
ah, we have a problem here
two parallel lines, same slope
but different y axis intercepts
They never touch each other, ever/
NO SOLUTION
Thanks @damon.
You are welcome.
To determine the number of solutions for a system of equations, you need to solve the system and analyze the solutions.
Let's solve the system of equations by using the method of substitution:
First, substitute the expression for y from the first equation into the second equation:
2y - 8x = 3
2(4x + 3) - 8x = 3
8x + 6 - 8x = 3
Simplifying the equation further:
6 = 3
Now, notice that this equation is not true. There is a contradiction, which means that the system of equations is inconsistent, and there are no solutions.
Therefore, the given system of equations has no solutions.