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liraira [26]
3 years ago
12

Find x and y using subsitution -3x + y = 6 5x + 2y =23

Mathematics
2 answers:
vazorg [7]3 years ago
4 0

\left\{\begin{array}{ccc}-3x+y=6&|\text{add 3x to both sides}\\5x+2y=23\end{array}\right\\\\\left\{\begin{array}{ccc}y=3x+6\\5x+2y=23\end{array}\right\\\\\text{substitute}\ y=3x+6\ \text{to the second equation}\\\\5x+2(3x+6)=23\qquad|\text{use distributive property}\\\\5x+(2)(3x)+(2)(6)=23\\\\5x+6x+12=23\qquad|\text{subtract 12 from both sides}\\\\11x=11\qquad|\text{divide both sides by 11}\\\\\boxed{x=1}\\\\\text{subtract the value of x to the first equation}\\\\y=3(1)+6\\\\y=3+6\\\\\boxed{y=9}

<h3>Answer: x = 1 and y = 9 → (1, 9).</h3>
KatRina [158]3 years ago
4 0
5x+2y=23
-3x+y=6
-
—————-
8x+y=17
-3x+y=6
-
——————
11x=11
X=1


5+2y=23
2y = 18
Y= 9
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Answer with explanation:

Data set Showing number of times seventh period class attended a summer camp since first grade:

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⇒≡Mean of a Data set is sum of all the variate in data set divided by total number of Variate in the data set.

Range of the sample Means of a data set is difference between Maximum value of variate in the data set and Minimum value of Variate in Data set.

Maximum Value in the sample mean = 3

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⇒Range = Maximum value of mean  - Minimum value of mean

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⇒≡None of the option given, matches with the value of range Calculated.

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A cylindrical can has a volume of, 1250 cubic centimetres. What is the height of the can if its radius is 8 centimetres? Round y
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A cylinder is a three-dimensional structure formed by two parallel circular bases connected. The height of the can that has a volume of 1250 cm³ if the radius is 8 cm is 6.217 cm.

<h3>What is a cylinder?</h3>

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.

Given the volume of the cylinder is 1250 cm³, and the radius of the cylinder is 8 cm. Therefore, the volume of the cylinder can be written as,

\text{Volume of the cylinder} = \pi r^2h

1250 = \pi \times (8)^2 \times h\\\\h = 6.217\rm\ cm

Hence, the height of the can that has a volume of 1250 cm³ if the radius is 8 cm is 6.217 cm.

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