(1,-4)
x=1, y=-4.
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Answer:
Remember, a homogeneous system always is consistent. Then we can reason with the rank of the matrix.
If the system Ax=0 has only the trivial solution that's mean that the echelon form of A hasn't free variables, therefore each column of the matrix has a pivot.
Since each column has a pivot then we can form the reduced echelon form of the A, and leave each pivot as 1 and the others components of the column will be zero. This means that the reduced echelon form of A is the identity matrix and so on A is row equivalent to identity matrix.
Slope:7
y-int:-2
slope is the one with x and y-int is b
Solution:
Let x = the number of $70 seats sold
Let y = the number of $20 seats sold
x+y ≤ 20,000
70x+20y > 500,000
