Answer:
(1, 6 )
Step-by-step explanation:
5x + 2y = 17 → (1)
4x + y = 10 → (2)
Multiplying (2) by - 2 and adding to (1) will eliminate the y- term
- 8x - 2y = - 20 → (3)
Add (1) and (3) term by term to eliminate y
- 3x + 0 = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for x
Substituting into (1)
5(1) + 2y = 17
5 + 2y = 17 ( subtract 5 from both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (1, 6 )
Answer:
The ratio of George age to Carl's age is 1:12.
Step-by-step explanation:
Let the age of George be 'g'.
Let the age of Alex be 'a'.
Also Let the age of Carl be 'c'.
Given:
The sum of their ages is 68.
So equation can be framed as;

Also Given:
Alex is 12 years older than George.
So equation can be framed as;

Now Given:
Carl is three times older than Alex.

But 
So we get;

Now Substituting equation 2 and equation 3 in equation 1 we get;

Subtracting both side by 48 using subtraction property of equality we get;

Now Dividing both side by 5 using Division property of equality we get;

Hence George age 
Now Alex age 
Also Carl's age 
Now we need to find the ratio of George age to Carl's age.

Hence the ratio of George age to Carl's age is 1:12.
Answer:
He will have to pay $192 in simple interest.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
E = P*I*t
In which E is the interest, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
In this problem, we have that:
P = 600, r = 0.08, t = 4
So
E = P*I*t = 600*0.08*4 = 192
He will have to pay $192 in simple interest.
The answer should be look it up