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Fudgin [204]
3 years ago
13

Substitution method4x + y = 146x - 3y = 3​

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

  • x = 2.5
  • y = 4

Step-by-step explanation:

<u>We know that:</u>

  • 4x + y = 14
  • 6x - 3y = 3

<u>Let's first solve for y by choosing any equation.</u>

  • 4x + y = 14
  • => y = 14 - 4x

<u>Now, let's substitute the value of y into the second equation.</u>

  • 6x - 3y = 3
  • => 6x - 3(14 - 4x) = 3
  • => 6x - 42 + 12x = 3
  • => 18x - 42 = 3
  • => 18x = 42 + 3
  • => 18x = 45
  • => x = 45/18 = 5/2 = 2.5

<u>Now, let's substitute the value of x into the equation of y.</u>

  • => 14 - 4x = y
  • => 14 - 4(2.5) = y
  • => 14 - 10 = y
  • => y = 4

Hence, the value of x and y are 2.5 and 4 respectively.

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To make sure that a given parallelogram is a rectangle, at least hon many of
zmey [24]

Answer:

D. One

Step-by-step explanation:

     A parallelogram will have two sets of equal sides. Since we have that fact, all we need to know are the angles.

     A quadrilateral will have a total of 360° in its angles. If only one angle is equal to 90°, then we can do <u>the math</u> to figure out that all the others must be 90° as well. A rectangle is a parallelogram with the opposite sides being parallel and all the angles being 90°. This then answers the question.

     "<u>The Math</u>"

-> Keep in mind there will be four angles

-> Once we subtract the first angle of 90°, we will have three angles left. Hence why we divide by 3.

360° - 90° = 270°

270° / 3 = 90° ✓

8 0
2 years ago
the scale of a map is 1cm to 12km what is the distance on land if the length from town A to town B on the map is 15cm​
Pachacha [2.7K]

Answer:

180 km

Step-by-step explanation:

1 cm=12 km

15 cm=12×15=180 km

6 0
3 years ago
Why do justices use precedents in majority opinions and dissents?
Mandarinka [93]
Justices use precedents in majority opinions and dissents in order to show that other cases with similar circumstances came to a similar decision.
5 0
3 years ago
Which of the following linear inequalities matches the given graph below?
frozen [14]

Answer:

O y > 4

Step-by-step explanation:

The dotted line indicates the line is not part of the inequality, and it is clearly greater than 4.

8 0
2 years ago
Solve 9,159 divided by 7
aniked [119]

Answer:

(9159 / 7 = 1308.429)

Step-by-step explanation:

Simply multiply the last digit by 2 and then subtract the product from the remaining digits.

If that difference is divisible by 7, then 9159 is divisible by 7.

The last digit in 9159 is 9 and the remaining digits are 915. Thus, the math to determine if 9159 is divisible by 7 using our alternate method is:

915 - (9 x 2) = 897

Since 897 is not divisible by 7, 9159 is also not divisible by 7.

Therefore, the answer to "Is 9159 Divisible By 7?" is no.

(9159 / 7 = 1308.429)

5 0
2 years ago
Read 2 more answers
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