use cramer's rule to solve this equation x+y=4, y+z=0, z+w=-2, w-x=2

Question

FInd x, y, z, and w

Answer 1

Given equations are x+y = 4 ---> (1)

y+z = 0 ----> (2)

z+w = -2 ----> (3)

w-x = 2 ----->(4)

To solve the equations use cramers rule AX = B

A is cooefficient matrix, X is variable matrix and B is constant matrix.

Now convert the equatons in to matrix form.

Solution x = 0, y = 4, z = -4, w = 2.