Answer:
(- 1, 2 )
Step-by-step explanation:
2x + 5y = 8 → (1)
x - 2y = - 5 → (2)
multiplying (2) by - 2 and adding to (1) will eliminate x
- 2x + 4y = 10 → (3)
add (1) and (3) term by term to eliminate x
0 + 9y = 18
9y = 18 ( divide both sides by 9 )
y = 2
substitute y = 2 into either of the 2 equations and solve for x
substituting into (1)
2x + 5(2) = 8
2x + 10 = 8 ( subtract 10 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
solution is (- 1, 2 )
<h3>
Answer: Yes</h3>
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Explanation
The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.
The ratio 16:20 simplifies to 4:5 when you divide both parts by 4
Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.
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Put another way,
(8 large)/(10 small) = (16 large)/(20 small)
8/10 = 16/20
8*20 = 10*16 ... cross multiply
160 = 160
We get a true equation, so the first equation is true as well.
This shows the ratios are equivalent.
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Or you could have...
(8 large)/(16 large) = (10 small)/(20 small)
8/16 = 10/20
8*20 = 16*10
160 = 160
We get the same conclusion as before.
Answer:
hmmm
Step-by-step explanation:
I think its 3-5
Answer:
c. 2520
Explanation:
Repetition is not allowed, therefore:
1st digit can be any of the given 7 numbers
2nd digit can be any of the remaining 6 numbers
3rd digit can be any of the remaining 5 numbers
4th digit can be any of the remaining 4 numbers
5th digit can be any of the remaining 3 numbers
This means that:
number of possible combinations = 7 * 6 * 5 * 4 * 3 = 2520 numbers
Hope this helps :)
Answer:
y = 0,5 x + (-3)
Step-by-step explanation:
We can see from the graph that when y = -3, the line crosses y axis, therefore
y = ? x + (-3)
We can also spot that when x = 6, y = 0
// now mark ? sign as a variable k and put the given x and y values into the previous expression
y = k * x - 3
0 = k * 6 - 3
k * 6 = 3
k = 3/6
k = 0,5