Answer:
Resulting equation is
[tex]x^2+\left(4x\right)^2=81[/tex]
Step-by-step explanation:
Isolate y in the first equation [tex]3y=12x[/tex]
divide both sides by 3
[tex]y=4x[/tex]
Now we substitute this value of y into second equation
[tex]x^2+y^2=81[/tex]
[tex]x^2+\left(4x\right)^2=81[/tex]
Hence the resulting equation is
[tex]x^2+\left(4x\right)^2=81[/tex]
Notice that question doesn't says to solve so there is no need to simplify or solve that equation further
Answer:
[tex]x^2+(4x)^2=81[/tex] or [tex]x^2+16x^2=81[/tex] or [tex]17x^2=81[/tex]
Step-by-step explanation:
Given : [tex]3y=12x[/tex]
[tex]x^2+y^2=81[/tex]
To Find: Kira isolated variable y in the first equation then substituted it into the second equation.what was the resulting equation?
Solution:
[tex]3y=12x[/tex] --1
[tex]x^2+y^2=81[/tex] --2
Value of y from 1
[tex]y=4x[/tex]
Substitute this value of y in 2
[tex]x^2+(4x)^2=81[/tex]
[tex]x^2+16x^2=81[/tex]
[tex]17x^2=81[/tex]
Hence the resulting equation is [tex]x^2+(4x)^2=81[/tex] or [tex]x^2+16x^2=81[/tex] or [tex]17x^2=81[/tex]
