Advertisements
Advertisements
Question
Solve the following equations by using Cramer’s rule:
2x + 3y = 7; 3x + 5y = 9
Sum
Solution
The equations are
2x + 3y = 7
3x + 5y = 9
Here Δ = `|(2, 3),(3, 5)|`
= 10 – 9
= 1 ≠ 0
∴ We can apply Cramer’s Rule
Now `Delta_x = |(7, 3),(9, 5)|`
= 35 – 27
= 8
`Delta_y = |(2, 7),(3, 9)|`
= 18 – 21
= – 3
∴ By Cramer's rule
x = `Delta_x/Delta = 8/1` = 8
y = `Delta_y/Delta = (-3)/1` = – 3
∴ x = 8; y = – 3
shaalaa.com
Is there an error in this question or solution?
