Let's solve this by substitution.
y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.
clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3
Combine like terms: 12x = -60. Then x = -5
Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7
= -5/3 + 35/3 = 30/3 = 10.
Thus, the solution (x,y) of this system is (-5,10).
Answer:
9x+6
Step-by-step explanation:
(3x+2)+2(3x+2)
3x+2+6x+4
9x+6
Answer:
6 games.
Step-by-step explanation:
Given that,
Monthly membership fee of store 1 is $7.5, but then the charge to rent a game is only $1.00
Another store has no membership fee, but that store charges $2.00 to rent a game.
Let there be n games needed to be rented each month for the total fees to be the same from either store.
Cost of first store = $7.50+$1.00n
Cost of another store = $2.00
If cost equals,
$7.50+$1.00n=$2
n=5.5 
6
Hence, 6 games needed to be rented each month.
Answer:
I guess it is the Answer C
Using a system of linear equations, the distance between points A and B is 6000 cm
Time taken = Distance / speed
Let ; distance = d
<u>To</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
- <u>t</u> = d / 4
- <em>4t = d ______(1)</em>
<u>Fro</u><u> </u><u>time</u><u> </u><u>:</u><u> </u>
(t + 15 × 60) = d / 2.5
2.5(t + 900) = d
<em>2.5t + </em><em>2250</em><em> = d ______(2)</em>
Equate (1) and (2)
4t = 2.5t + 2250
4t - 2.5t = 2250
1.5t = 2250
t = 1500 seconds
From (1) :
d = 4t
d = 4(1500)
d = 6000 cm
Therefore, the distance from point A to B is 6000 cm
Learn more : brainly.com/question/14000187
