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matrenka [14]
1 year ago
8

Solve each system by substitution. Check your answers. 4x+2y=7 , y = 5x

Mathematics
1 answer:
Kazeer [188]1 year ago
5 0

By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

4x + 2y = 7     (equation 1)

y = 5x     (equation 2)

Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.

4x + 2y = 7     (equation 1)

4x + 2(5x) = 7

4x + 10x = 7

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

4x + 10x = 7

14x = 7

x = 1/2

Substitute the value of x in the second equation and solve for y.

y = 5x

y = 5(1/2)

y = 5/2

Hence, the solution of the given system of equations is (1/2 , 5/2).

To learn more about solving systems of equations: brainly.com/question/25869125

#SPJ4

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Which expression has the fewest significant figures?
yanalaym [24]

Hello!

Here are some rules to determine the number of significant figures.

  1. Numbers that are not zero are significant (45 - all are sigfigs)
  2. Zeros between non-zero digits are significant (3006 → all are sigfigs)
  3. Trailing zeros are not significant (0.067 → the first two zeros are not sigfigs)
  4. Trailing zeros after a decimal point are always significant (1.000 → all are sigfigs)
  5. Trailing zeros in a whole number are not significant (7800 → the last two zeros are not sigfigs)
  6. In scientific notation, the exponential digits are not significant, known as place holders (6.02 x 10² → 10² is not a sigfig)

Now, let's find the number of significant figures in each given number.

A). 296.54

Since these digits are all <em>non-zero</em>, there are 5 significant figures.

B). 5003.1

Since the two <em>zeros are between non-zero digits</em>, they are significant figures. Thus, there are 5 significant figures.

C). 360.01

Again, the two zeros are between non-zero digits. There are 5 significant figures.

D). 18.3

All of these digits are non-zero, hence, there are 3 significant figures.

Therefore, expression D has the fewest number of significant figures being 3.  

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3 years ago
Read 2 more answers
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