Mathematics

Solve the following simultaneous linear equations:
2(x - 4) = 9y + 2
x - 6y = 2.

18 Likes

Given,

2(x - 4) = 9y + 2 ……(i)

x - 6y = 2 or x = 2 + 6y……(ii)

Substituting value of x from eq. (ii) in (i),

⇒ 2[(2 + 6y) - 4] = 9y + 2

⇒ 2[6y - 2] = 9y + 2

⇒ 12y - 4 = 9y + 2

⇒ 12y - 9y = 2 + 4

⇒ 3y = 6

⇒ y = 2.

x = 2 + 6y = 2 + 6(2) = 2 + 12 = 14.

Hence, x = 14 and y = 2.

Answered By

6 Likes

Assertion (A): Solving $\sqrt{2}x - \sqrt{3}y$ = 0, $\sqrt{3}x + \sqrt{2}y$ = 5 yields x = $\sqrt{3}$ , y = $\sqrt{2}$ .
Reason (R): We can use cross-multiplication method to solve a pair of linear equations.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).
View Answer