Solve the system algebraically. y=3-1/2x 3x+4y=1 what is the value of x ? -11 17/2 11

Answer is option A which is -11

Step-by-step explanation:

Given:

y=     ..........................(i)

3x + 4y = 1                            ..........................(ii)

To find:

value of x = ?

Solution:

We know the value of y from the equation (i)

We can get the value of x by putting the value of y in equation (ii)

From equation (i)

y=

Putting this value in equation (ii)

3x + 4y = 1  

Putting y in here it becomes

3x + 4()=1

multiplying 4 inside

3x +12 -2x=1

Subtracting 12 from both sides

3x+12-12- 2x=1-12

3x- 2x=-11

solving it gives

x=-11