Question

Use Cramer's Rule to solve the following system of equations. Write each answer in s

10x-8y = 6
-7x+ y = -1
Answer Attempt 1 out of 2
Write the three relevant determinants in any order: I
Solution to the system: x =
Submit Answer
1
23
y =
16
23

Answer 1

Answer and step-by-step explanation:

To solve the system of equations using Cramer’s Rule, we need to find the determinant of the coefficient matrix and the determinant of the matrix obtained by replacing the x-column with the constants and the y-column with the coefficients. Then, we can use these determinants to find x and y.

The coefficient matrix is:

[10−7​−81​]

The determinant of this matrix is:

​10−7​−81​​=(10)(1)−(−8)(−7)=66

The matrix obtained by replacing the x-column with the constants and the y-column with the coefficients is:

[6−1​−81​]

The determinant of this matrix is:

​6−1​−81​​=(6)(1)−(−8)(−1)=14

Using Cramer’s Rule, we can find x and y as follows:

x=​10−7​−81​​​6−1​−81​​​=6614​=337​

y=​10−7​−81​​​10−7​6−1​​​=66−136​=−3368​

Therefore, the solution to the system of equations is:

x=337​,y=−3368​