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Question 1205946: Can some please help me solve and understand this problem?
IMG-3706
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%282%2C3%2C%0D%0A1%2C-4%2C5%2C%0D%0A7%2C-3%2C2%29
1. write the equation for the augmented matrix
your matrix represents following system of linear equations:
x-4y=5
7x-3y=2
Write the coefficients of the x-terms as the numbers down the first column.
Write the coefficients of the y-terms as the numbers down the second column.
If there are z-terms, write the coefficients as the numbers down the third column.
Draw a vertical line and write the constants to the right of the line.
the system of linear equations, as follows:
matrix%282%2C2%2C%0D%0A1%2C-4%2C%0D%0A7%2C-3%29 |matrix%282%2C1%2C5%2C2%29
2.
write a row-reduction algorithm to help your classmate or family member solve the matrix
Algorithm(Row Reduction)
Gaussian elimination, also known as row reduction, is an algorithm for solving systems of linear equations.
Your matrix
matrix%282%2C3%2C%0D%0A1%2C-4%2C5%2C%0D%0A7%2C-3%2C2%29
Find the pivot in the 1st column in the 1st row
matrix%282%2C3%2C%0D%0A1%2C%09-4%2C%095%2C%0D%0A7%2C%09-3%2C%092%29
Eliminate the 1st column
matrix%282%2C3%2C%0D%0A1%2C%09-4%2C%095%2C%0D%0A0%2C%0925%2C%09-33%29

Make the pivot in the 2nd column by dividing the 2nd row by 25
matrix%282%2C3%2C%0D%0A1%2C%09-4%2C%095%2C%0D%0A0%2C%091%2C%09-33%2F25%29
Eliminate the 2nd column
matrix%282%2C3%2C%0D%0A1%2C%090%2C%09-7%2F25%2C%0D%0A0%2C%091%2C%09-33%2F25%29


3.
perform your algorithm to solve the matrix
matrix%282%2C3%2C%0D%0A1%2C%090%2C%09-7%2F25%2C%0D%0A0%2C%091%2C%09-33%2F25%29
the solution of your system is in the third column:
x+=+-7%2F25
y+=+-33%2F25


Answer by ikleyn(52767) About Me  (Show Source):
You can put this solution on YOUR website!
.

The bulk of your post is unreadable.