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Luba_88 [7]
4 years ago
13

Explain how to form a linear combination to eliminate the variable y for this system. 2x - 3y = 3 5x + 2y = 17A)Multiply the fir

st equation by 2 and the second equation by 3.
b.Multiply the first equation by −5 and the second equation by 2.
c.Multiply the first equation by −2 and the second equation by 3.
d.Multiply the first equation by 2 and the second equation by −3.
Mathematics
1 answer:
jonny [76]4 years ago
7 0
We aer goint to eliminate the x's
multiply first by -5 and 2nd by 2
so that is B
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The sum of the dibits of a two digit number is 15. The number obtained by interchanging its digits exceeds the given number by 9
QveST [7]

Answer:

  78

Step-by-step explanation:

Interchanging the digits of a 2-digit number changes the value by a multiple of 9. The multiple is the difference between the digits of the number.

So, we have two digits that add to 15, and have a difference of 9/9 = 1. Since you're familiar with your addition facts, you know that the two digits are 7 and 8. Since the number we're looking for is the smallest of the numbers you can make with those digits, ...

  the original number is 78.

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More formally, let t and o represent the tens and ones digits of the original number.

  t + o = 15 . . . . . . the sum of digits is 15

  (10o +t) - (10t +o) = 9 . . . . swapping digits increases the value by 9

The latter equation simplifies to ...

  9o -9t = 9 . . . . collect terms

  o - t = 1 . . . . . . divide by 9 . . . (note the difference of digits is 9/9=1)

Adding this to the first equation gives ...

  (t +o) +(o -t) = (15) +(1)

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The tens digit is 7 and the ones digit is 8: 78.

3 0
3 years ago
W A field is shaped like the figure shown What is the area of the field Use 3.14 for 8 m
viktelen [127]

Answer: 146.24 square meters

Step-by-step explanation:

4 0
4 years ago
the foundation of a building is in the shape of a rectangle WITH THE LENGTH OF 20 METERS AND A WIDTH OF 18 METERS. TO THE NEARES
DerKrebs [107]

Answer:

Pythagoras theorem. 20^2 times 18^2 = distance^2

3 0
3 years ago
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emmainna [20.7K]

Answer:

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Step-by-step explanation:

Let O(x, y) be the centroid of the triangle.

The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.

The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.

For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:

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The centroid is at (-5, 3)

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3 years ago
The quotient of 5 ÷A is equal _ the quotient of A ÷ 5 ​
Alla [95]

Answer:

5÷A and A÷5=A×A and 5×5=A=25

5 0
3 years ago
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