Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
5x + y = 21 → (1)
x - 3y = 9 → (2)
Multiply (1) by 3 and add the result to (2) to eliminate y term
15x + 3y = 63 → (3)
Add (2) and (3) term by term
(x + 15x) + )- 3y + 3y) = (9 + 63)
16x = 72 ( divide both sides by 16 )
x = 4.5
Substitute x = 4.5 into (1) for corresponding value of y
22.5 + y = 21 ( subtract 22.5 from both sides )
y = - 1.5
Solution is (4.5, - 1.5 )
Answer:

Step-by-step explanation:
The given equation is :

We need to find the value of x.
When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

We know that, 4×4= 16 and 5×5 = 25
So,

So, the solution of the given equation is 4/5.
Dana:
Starts with 25 = 25
Spends 10 = 25 - 10 = 15
Received 50 = 15 + 50 = 65
New tires cost 75 = 65 - 75 = -10
Tracey:
Starts with 50 = 50
Gets gas for 25 = 50 - 25 = 25
Received 100 = 25 + 125 = 125
Purchased boots for 150 = 125 - 150 = -25
Tracey ends up with the least amount of money after their purchases.
Hope this helps! :)
Answer:
Step-by-step explanation:
A(x)=3x^2
B(x)=8x+3
A(x)=B(x)
3x^2=8x+3
3x^2-8x-3=0
factor
(3x+1)(x-3)=0
x-3=0
x=3
3(3^2)=8(3)+3
3(9)=24+3
27=27
Answer:
14.4 miles
Step-by-step explanation:
5 goes into 18 3.6 times and 3.6 x 4 = 14.4, she can run 3.6 miles per hour