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:
[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]