There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
Step-by-step explanation:
x = mass of apples
y = mass of strawberries
z = mass of the box
x = 3y
x + z = 16240
y + z = 6350
let's subtract the second from the first equation
x + z = 16240
- y + z = 6350
-----------------------
x - y + 0 = 9890
using the first identity in that result gives us
3y - y = 9890
2y = 9890
y = 4,945 g
x = 3y = 3×4945 = 14,835 g = the mass of the apples
If I’m using substitution the answer is A
I am legit doing this in school but I don't know it lol
The answer is letter A. A meter has nearly the same value to a yard, one yard approximately amounting to 1.09361 meter. The rest of the other measures are far from meter's value in distance.
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