Question

Use Cramer's Rule to solve each system.
5x – 3y = 8
-2x - y = 10

Answer 1

Answer: x = - 2

y = - 6

Explanation:

A 2 × 2 matrix would be formed. The steps are shown in the attached photo.

Answer 2

-2, -6

Explanation:

using cramer rule

5 -3

-2 -1

calculatiing the determinant = (5 x-1) - (-3x-2) = -5 -(6) = -5-6=-11

using cramer rule

to calculate x we change the coefficient of x with the answer (8,10)

8 -3

10 -1

we calculate determinant = (8x-1)-(-3x10) = -8-(-30) = -8+30 =22

to calculate x

22/-11= -2

to calculate y we change the coefficient of y with the answer (8,10)

5 8

-2 10

we calculate determinant = (5x10)-(8x-2) = 50 -(-16) = 50 +16=66

to calculate y

66/-11= -6