Question

To find the values of x and y for the equations x − 2y = 5 and 2x + 3y = 10 complete the activity.

D = `|(1, -2),(2, 3)|` = 3 + 4 = 7

D_x = `|(5, -2),(10, 3)| = square`

D_y = `|(1, 5),(2, 10)| = square`

By Cramer’s rule

x = `("D"_x)/"D" = square,` y = `("D"_y)/"D" = square`

Answer 1

D = `|(1, -2),(2, 3)|` = 3 + 4 = 7

D_x = `|(5, -2),(10, 3)|` = 15 + 20 = 35

D_y = `|(1, 5),(2, 10)|` = 10 – 10 = 0

By Cramer’s rule,

x = `("D"_x)/"D" = 35/7` = 5, y = `("D"_y)/"D" = 0/7` = 0