Find all solutions of the system of equations.\begin{cases}y +x^{2}=4x

Jason Farmer 2021-09-15 Answered

Find all solutions of the system of equations.
{y+x2=4xy+4x=16

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Expert Answer

dessinemoie
Answered 2021-09-16 Author has 90 answers
Step 1
Solutions of the system of equations.
y+x2=4x... equation (1)
y+4x=16... equation (2)
take equation (1)
y+x2=4x
y=4xx2... equation (3)
substitute equation (3) in the (2) equation
y+4x=16
(4xx2)+4x=16
x28x+16=0
(x4)2=0
x=4
Step 2
Now put x=4 in equation 2
y+4x=16
y+4(4)=16
y+16=16
y=16-16
y=0
Thus the solution is [4,0]
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