Use the​ Gauss-Jordan method to solve the system of equations. If the system has infinitely many​ solutions, give the solution with z arbitrary

Write each equation in standard form:

3x + y + 3z = 11

x + 2y + z = 7

-x + y + z = 0

In matrix form, this is

and in augmented matrix form,

Now for the row operations:

• Add row 1 to -3 (row 2), and add row 1 to 3 (row 3):

• Multiply row 2 by -1/5:

• Add -4 (row 2) to row 3:

• Multiply row 3 by 1/6:

• Add -1 (row 2) and -3 (row 3) to row 1:

• Mutiply row 1 by 1/3:

Then the solution to the system is (x, y, z) = (5/2, 2, 1/2).

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!