Determine the number of solutions?
determine the number of solutions the following system of equations has
4x +y =13
y= -4x+11
IM so lost
1) 4x + y = 13
2) y = -4x + 11
Substitute the value of y from equation 2 into equation 1.
4x + y = 13
4x + (-4x + 11) = 13
4x - 4x + 11 = 13
11 ≠ 13
Try to solve for x in terms of y from equation 1 and substitute
that into equation 2.
4x + y = 13
4x = -y + 13
x = -1/4 y + 13/4
y = -4(-1/4 y + 13/4) + 11
y = y + 13 + 11
y - y = y + 13 + 11 - y
0 ≠ 24
There is no solution. We cannot determine a value for x from these
equations, nor can we determine a value for y.