Question

Consider the following system of equations 6x + 4y = 4 4x + 5y = 1 2.9. CONCLUDING REMARKS find solution for x, y using Crammer's rule

Answer 1

Using Cramer's Rule, the solution to the given system of equations 6x + 4y = 4 and 4x + 5y = 1.2 is x = 0.6727 and y = -0.8.

Step-by-step explanation:

In the given system of equations:

6x + 4y = 4
4x + 5y = 1.2

We can solve for the values of x and y using Cramer's Rule.

Let's compute the determinants:

• D = |6 4| = 6*5 - 4*4 = 22
• Dx = |4 4| = 4*5 - 4*1.2 = 14.8
• Dy = |6 1.2| = 6*1.2 - 4*6 = -17.6

Now, we can find the solutions:

• x = Dx / D = 14.8 / 22 = 0.6727
• y = Dy / D = -17.6 / 22 = -0.8

Therefore, the solution to the system of equations is x = 0.6727 and y = -0.8.