The equations were multiplied by constants and added together to determine that the value of x in the system of equations is –4. -3/4x=2/3y=-1 1/2x-5/6y=-7 what is the value of y? a. -6 b.-3 c. 3 d. 6

Option D is correct.

y =6

Step-by-step explanation:

Given the system of equation:

          .......[1]

           .......[2]

Multiply equation by 12 in [1] we get;

                      .......[3]

Multiply equation by 12 in [2] we get;

                      .......[4]

Multiply equation [3] by 5 we get;

                .....[5]

Multiply equation [4] by 4 we get;

           .....[6]

Subtract equation [6] from [5] to eliminate x we get;

Divide both sides by 69 we get;

x = -4

Substitute the value of x in [3] we get;

Subtract 36 from both sides we get;

Divide both sides by -8 we get;

y = 6

Therefore, the value of y is 6

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