Solve the system of equations using substitution or

amonitas3zeb

amonitas3zeb

Answered question

2022-03-22

Solve the system of equations using substitution or addition/elimination:
y=x28x47
6xy=25

Answer & Explanation

jmroberts70pbo2

jmroberts70pbo2

Beginner2022-03-23Added 10 answers

y=x28x47 (1)
6xy=25
y=6x+25 (2)
Solve (1) and (2)
6x+25=x28x47
x28x476x25=0
x214x72=0
x218x+4x72=0
x(x18)+4(x18)=0
(x18)(x+4)=0
x=18 or x=4
put x=18 in equation (2)
y=6(18)+25
y=108+25
y=133
If x=4 then y=6(4)+25
y=24+25
y=1
Therefore solution of the system is (x,y)=(18,133) and (x,y)=(4,1)

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