Answer:
Step-by-step explanation:
4x − y = −11
2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
4x − y = −11
-4x - 6y = -10
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0 - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
4x − y = −11
4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2
4x − 9y = −21
−10y = −30
we solve for y
−10y = −30
y = -30/-10
y = 3
and substitute in the first equation:
4x − 9y = −21
4x − 9(3) = −21
4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3
4x + 3y = 5
2y = −6
we solve for y:
2y = −6
y = -6/2
y = -3
we do substitute in the first equation:
4x + 3y = 5
4x + 3(-3) = 5
4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3
7x − 3y = −11
9x = −6
we solve for x:
9x = −6
x = -6/9
x = -2/3
then we substitute in the first equation the result found:
7x − 3y = −11
7(-2/3) − 3y = −11
-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and y = 19/9
12x − 3y = −33
14x = −28
we solve for x:
14x = −28
x = -28/14
x = -2
then we substitute in the first equation:
12x − 3y = −33
12(-2) − 3y = −33
-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
The denominator is the one on the bottom so 9 is the denominator the top is the numerator
Answer:
6
Step-by-step explanation:
I just learned about this yesterday. The line inside of the box is the median. The left side of the box, on the number 2, is the lower quartile. The dot on the line to the left, outside of the box, is above the smallest value. The right side of the box is the upper quartile. The line outside of the box on the right is the highest value. Hope this helps!
the answer will be C. (4,2)
Answer:
The number x = 3
Step-by-step explanation:
Let 'x ' be the positive integer
Given data If the sum of five times a number and two times the same number and the same number is increased by 4 and the result is 25
sum of five times a number is 5 x and same number two times is 2 x and increased by 4 (addition) then result is equal to 25
so finally 5 x +2 x +4 = 25
7 x + 4 = 25
subtracting '4' on both sides , we get
7 x = 21
dividing '7' on both sides, we get
Therefore the number is x = 3
<u>Verification :</u>-
5 x +2 x +4 = 25
substitute x = 3 in above equation
15+6+4 = 25
25 =25
<u>Final answer</u> :-
The number is 3
