Question

The no. of solutions of simultaneous linear equations x+y=3;3x-2y=4 are_​

Answer 1

Answer:

1 solution

Step-by-step explanation:

The first equation is  x + y = 3.

It can be written as,

y = 3 - x.

Here, the gradient is -1 and they y-intercept is  3.

The second equation is 3x - 2y = 4.

It can be written as,

=> -2y = 4 - 3x

=> y = (3x + 4)/2

=> y = (3x/2) + (4/2)

Here, gradient is 3/2 and y-intercept is 2.

The gradients are different, so the lines intersect at one point.

The system has one solution.

#Hope my answer helped you! ..