Previous Year NEET Question- System Of Linear Equations

Question 1:

Solve 3x + 2y = 13 and 2x + 3y = 19.

Solution:

We can use the elimination method to solve this system of equations. First, multiply the first equation by -3 and the second equation by 2:

-9x - 6y = -39
4x + 6y = 38

Now, add the two equations together:

5x = 0

Therefore, x = 0. Substituting this value into either of the original equations, we get y = 3.

The answer:

(0, 3)

Explanation:

We can also solve this system of equations graphically. The first equation represents a line with slope 3/2 and y-intercept -3. The second equation represents a line with slope 3/2 and y-intercept 9. The two lines intersect at the point (0, 3).

Question 2:

Find the value of k for which the pair of linear equations 2x +