What is the solution of this system of linear equations? 3y=3/2x+6 1/2y-1/4x=3 a.(3, 6) b.(2, 1) c. No solution d. Infinite number of solutions

Given:

The system of equations is

To find:

The solution of the given system of equations.

Solution:

The slope intercept form of a line is

Where, m is slope and b is y-intercept.

We have,

              ...(i)

           ...(ii)

Rewritten the given equation in slope intercept forms.

In equation (i), divide both sides by 3.

Slope of this line is and y-intercept is 2.

In equation (ii), multiply both sides by 2 and isolate y variable.

Slope of this line is and y-intercept is 6.

Since slopes of both lines are same but the y-intercepts are different, therefore, the lines are parallel and the system of equations have no solution.

Therefore, the correct option is c.

be more specific

step-by-step explanation:

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70