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

Which equation is part of solving the system by substitution 4y 112 3y2 8 411 y2 3y2 8 4y 112 3y2 8 411y2 3y2 8 class=

Respuesta :

Answer:

[tex]4(11-y)^{2} -3y^{2}=8[/tex]

Step-by-step explanation:

we have

[tex]x+y=11[/tex] ----> equation A

[tex]4x^{2} -3y^{2}=8[/tex] ----> equation B

Solve the system by substitution

step 1

isolate the variable x in the equation A

[tex]x=11-y[/tex] ----> equation A1

step 2

Substitute the equation A1 in the equation B

[tex]4(11-y)^{2} -3y^{2}=8[/tex]

Solve for y

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

[tex]4(11-y)^2-3y^2=8[/tex]

Step-by-step explanation:

As we are given two equations as:

[tex]x+y=11[/tex]      ............(1)

[tex]4x^2-3y^2=8[/tex]    .............(2)

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

[tex]x=11-y[/tex]     ............(3)

Now substitute equation 3 in equation 2, we get:

[tex]4x^2-3y^2=8[/tex]

[tex]4(11-y)^2-3y^2=8[/tex]

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

[tex]4(11-y)^2-3y^2=8[/tex]

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