Find x and y, if y=2x−5 and x^2+y^2=5я

Tyra

Tyra

Answered question

2021-08-10

Find x and y, if
y=2x5andx2+y2=5я

Answer & Explanation

okomgcae

okomgcae

Skilled2021-08-11Added 93 answers

Let y=2x−5 be (a) and x2+y2=5 be (b)
Substitute (a) to (b) and solve for x:
x2+(2x5)2=5
x2+4x220x+25=5
5(x24x+4)=0
5(x2)2=0
x-2=0
x=2
Substitute x=2 to (a) and solve for y:
y=2×2=5
y=4-5
y=-1
Answer:
x=2. y=-1.

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