Answer:
Option 2: (1, 0) and (0, -5)
Step-by-step explanation:
Let's solve this system of equations using the elimination method.
Start by labelling the two equations.
5x -y= 5 -----(1)
5x² -y= 5 -----(2)
(2) -(1):
5x² -y -(5x -y)= 5 -5
Expand:
5x² -y -5x +y= 0
5x² -5x= 0
Factorise:
5x(x -1)= 0
5x= 0 or x -1= 0
x= 0 or x= 1
Now that we have found the x values, we can substitute them into either equations to solve for y.
Substitute into (1):
5(0) -y= 5 or 5(1) -y= 5
0 -y= 5 or -y= 5 -5
y= -5 or -y= 0
y= 0
Thus, the solutions are (0, -5) and (1, 0).
Answer:
The money Keira spent on food is $31.
Step-by-step explanation:
Total money spent by Keira = $45
Things Keira spent money on:
1. Clothing
2. Food
3. Other items
Money spent on Clothing = 1/5 of total money
= 1/5 x $45
Money spent on Clothing = $9
Money spent on Other Items = 1/9 of total money
= 1/9 x $45
Money spent on Other Items = $5
Money spent of on Food = Money spent - (Money spent on clothing + other items)
Money spent on food = 45 - (9+5)
= 45 - 14
Money spent on food = $31
Actually I think it may be C
Divide both the numerator and denominator by 9 to get;
Convert the improper fraction to a mixed number;
Answer:
$2000
Step-by-step explanation:
let x be the money she invested
lets assume this was for 1 year
0.09(x/2) + 0.07(x/2) = 160
multiply each side by 2 to cancel the denominators:
0.09x + 0.07x = 320
0.16x = 320
x = 2000
