Answer:
x=-2, y=-3
Step-by-step explanation:
we can rearrange the questions to make it easier
y=3x+3
2y=-3x-12
if you add the two equations, you get
3y=0x-9
so y=-9/3 = -3
plug y into one of the equations
-3=3x+3
-6=3x
x=-2
and then check your work by plugging into the other equation:
2*-3=-3(-2)-12
-6=6-12
-6=-6
<span>x : y is equal to 12 : 8. These can be reduced or cancelled down to 3 : 2 in the same proportions. Therefore, when y is 12, you have to multiply the smallest value y can be by 6, and must do the same to the smallest x value to retain the proportions. x = 18 when y = 12.</span>
<span>A) Goats that weigh exactly 50 or 60 pounds fall into two classes. would be the right answer</span>
Answer:
The solution is (-2, 0)
Step-by-step explanation:
Re-write -2x=-y+4 x=-2 in column form:
x=-2
-2x=-y+4
Next, substitute -2 for x in the second equation:
-2(-2) = -y + 4, or:
4 = -y + 4. Thus, y must be 0.
The solution is (-2, 0)
Answer:
The sum of money received by Ali, Carrie and Bryan is $ 740.
Step-by-step explanation:
At first we translate mathematically each sentence:
(i) <em>Ali, Carrie and Bryan received a sum of money. </em>
- Ali's money.
- Bryan's money.
- Carrie's money.
(ii) <em>Bryan's money was </em>
<em> of Ali's money</em>.
(1)
(iii) <em>The ratio of Ali's money to Carrie's money was 4 : 1</em>.
(2)
(iv) <em>Ali had $ 160 more than Bryan</em>.
(3)
After some algebraic handling, we have the following system of linear equations:
(1b)
(2b)
(3b)
The solution of the system is: 
, 
, 
The sum of money is:
The sum of money received by Ali, Carrie and Bryan is $ 740.
