Question

fond the solution to the system of the equations shown below:4y+12x=102y-6x=-8A. no solution b. x=-6, y=2c. more than 1 solution d. x=13/12, y= -3/4

Answer 1

Given -

4y+12x=10

2y-6x=-8

To Find -

The solution to the system of the equations =?

Step-by-Step Explanation -

4y+12x=10 .......(1)

2y-6x=-8 ........(2)

Now,

2(Equation 2)

= 4y - 12x = -16 .......(3)

Now,

Add (1) + (3)

4y + 12x + 4y - 12x = 10 - 16

8y = -6

y = -3/4

Now,

Simply put y = -3/4 in equation (2):

= 2(-3/4) - 6x = -8

= -3/4 - 3x = -4

= x = 13/12

Final Answer -

(d)x=13/12, y= -3/4​