Solve the systems of linear equations by using the method of substitution. If the system is consistent, inconsistent , or dependent, say so in your answer. y=-1/8x x-4y=4
y = (-1/8)x
x - 4y = 4
To use substitution, I am going to replace the y in the second equation with the expression that is equal to y in the first equation.
x - 4(-1/8)x = 4
x + (1/2)x = 4
(3/2)x = 4
If I multiply both sides by 2/3, I have
x = 4(2/3)
x = 8/3
By substituting the value of x into the first equation, I can find the value of y
y = (- 1/8)(8/3)
y = -1/3
The answer is (8/3,-1/3). Since there is only one answer, the system is consistent, independent.