matrix[2x,0
4,-y]=matrix[4,0
4,1]
To determine the values of x and y that satisfy the equation:
matrix[2x,0
4,-y] = matrix[4,0
4,1]
We can set up a system of equations by comparing the corresponding elements of both matrices:
2x = 4 (equation 1)
0 = 0 (equation 2)
4 = 4 (equation 3)
-y = 1 (equation 4)
Let's solve the equations step by step:
From equation 2, we see that 0 = 0, which is always true and does not give us any information about x or y.
Equation 3 tells us that 4 = 4, which is also always true and does not give us any information.
From equation 4, we have -y = 1. To solve for y, we multiply both sides of the equation by -1 to isolate y:
y = -1
Finally, from equation 1, we have 2x = 4. To solve for x, we divide both sides of the equation by 2:
2x/2 = 4/2
x = 2
Therefore, the values of x and y that satisfy the equation are:
x = 2
y = -1