Question

Which equation is part of solving the system by substitution? 4(y + 11)2 – 3y2 = 8 4(11 – y)2 – 3y2 = 8 4(y – 11)2 – 3y2 = 8 4(–11y)2 – 3y2 = 8

Answer 1

Answer : The equation which is the part of solving the system by substitution is,

`4(11-y)^2-3y^2=8`

Explanation:

As we are given two equations as:

`x+y=11` ............(1)

`4x^2-3y^2=8` .............(2)

From equation 1, we get the value of 'x'.

`x=11-y` ............(3)

Now substitute equation 3 in equation 2, we get:

`4x^2-3y^2=8`

`4(11-y)^2-3y^2=8`

Thus, the equation which is the part of solving the system by substitution is,

`4(11-y)^2-3y^2=8`

Answer 2

`4(11-y)^(2) -3y^(2)=8`

Explanation:

we have

`x+y=11` ----> equation A

`4x^(2) -3y^(2)=8` ----> equation B

Solve the system by substitution

step 1

isolate the variable x in the equation A

`x=11-y` ----> equation A1

step 2

Substitute the equation A1 in the equation B

`4(11-y)^(2) -3y^(2)=8`

Solve for y