Answer: Rewrite equations:
5x+y=−13;6x+6y=−6
Step: Solve5x+y=−13for y:
5x+y=−13
5x+y+−5x=−13+−5x(Add -5x to both sides)
y=−5x−13
Step: Substitute−5x−13foryin6x+6y=−6:
6x+6y=−6
6x+6(−5x−13)=−6
−24x−78=−6(Simplify both sides of the equation)
−24x−78+78=−6+78(Add 78 to both sides)
−24x=72
−24x
−24
=
72
−24
(Divide both sides by -24)
x=−3
Step: Substitute−3forxiny=−5x−13:
y=−5x−13
y=(−5)(−3)−13
y=2(Simplify both sides of the equation)
Answer:
x=−3 and y=2
Step-by-step explanation:
Answers:
x = 3
y = 9
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Explanation:
We're told that angle A is 20x. The diagram shows we have an equilateral triangle (since all three sides are the same length), so we know that all angles are the same measure and they are equal to 60 degrees.
Equate 20x and 60. So we solve 20x = 60 and that leads to x = 3 after you divide both sides by 20.
Since we have a triangle with all sides equal, we know that AB = AC = 9, therefore y = 9 because y is the length of AB.
Multiply you first equation by 2 to get 4x + 10y = 22
Now the x terms can be eliminated and cancelled out using elimination.
4x + 10y = 22
4x + 3y = 1
To eliminate you need to "subtract", so you need to multiply one of the equations by -1.
4x + 10y = 22
-4x -3y = -1
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0 + 7y = 21
y = 3
Now plug 3 into either one of the equations to get x.
Answer:
$18,630
Step-by-step explanation:
The cost of every college is expected to increase 3.5% next year.
The cost to attend Westish College is currently $18000.
What is the expected cost to attend Westish College next year?
The increase in the cost for next year is calculated as:
3.5 % × Current cost
= 3.5% × $18,000
= $630.
The expected cost to attend Westish college next year=
$18,000 + $630
= $18,630
Answer:
the number of silver medals won by Brazil is 14
Step-by-step explanation:
The computation of the number of silver medals won by Brazil is shown below:
Given that
Total number of gold and silver medal wons by Brazil was 35
And, the ratio of number of gold medals to the number of silver medals be 3 : 2
Based on the above information
The number of silver medals won would be
= 35 × 2 ÷ (3 + 2)
= 35 × 2 ÷ 5
= 14
hence, the number of silver medals won by Brazil is 14
