Find the values of the variables for which each statement is true...

Question

Find the values of the variables for which each statement is true, if possible. SeeExamples 1 and 2.  =

Accepted Answer

Hello, everyone. We are asked to determine if possible the values of the variables that satisfy the given statement, we are given two matrices. They are both two by two matrices. The first one reads the top row as J minus three K plus three, second row, L minus nine M plus 11. And that's equal to the matrix with the first row of four negative 10. In the second row of negative 18 30 we have four answer choices all of which have values for the variables J K L and M in slightly different orders. To find the values of these variables, we are going to match up the corresponding locations in our matrices. So they're both two by two, we can say they correspond directly. So the top left corner. So the first element in the first row of each matrix will be equal. So that would be J minus three equals four. So to solve for J I add three to both sides, and I know that the value of J is seven. Next, I'm gonna go to the right and match the second element of the first row of both matrices. So the first one would be K plus three and that equals negative 10. So again, I saw for Kay and when I subtract three from both sides, K equals negative 13, two variables down two to go, the first element of the second row will match and that will be L minus nine equal to negative 18. So I add nine to both sides. L must equal negative nine. And lastly the last or the second element in the second row of each matrix. So M plus 11 must equal 30. Subtracting 11 from both sides. M 19. So we have J equal to seven K equal to negative 13. L equal to negative nine M equal to 19. And that matches answer choice A have a nice day.

Find the values of the variables for which each statement is true, if possible. SeeExamples 1 and 2. =

Key Concepts

Variables

Equations

Solution Sets

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