Answer:
Step-by-step explanation:
- - 9x - 5y = -18
- 4x + 5y = 33
<u>Add up the two equations:</u>
- -9x - 5y + 4x + 5y = -18 + 33
- -5x = 15
- x = -3
<u>Finding y:</u>
- -9*(-3) - 5y = -18
- 27 - 5y = -18
- 5y = 27+18
- 5y = 45
- y = 9
Answer is: (-3, 9)
the distance from the origin is 5, so
sqrt(x²+y²)=5
x²+y²=25
substitue y=x²
y+y²=25
y²+y-25=0
solve using calculator or the formula
to get
y =( -1+sqrt(1+4*25))/2
or y = (-1-sqrt(1+4*25))/2
the second solution is rejected because a square cannot be negative
the value of x is the positive or negative (sqrt... or -sqrt...) or y
