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:

$4(11-y)^{2} -3y^{2}=8$

Step-by-step 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

Answer 2

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

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

Step-by-step 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,

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