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charle [14.2K]
2 years ago
6

Solve the system of linear equations by substitution. x+4y=18 y=-x+9

Mathematics
1 answer:
Dima020 [189]2 years ago
6 0

Using the substitution method, the solution to the system of linear equations, is: (6, 3).

<h3>System of Linear Equations</h3>

Using substitution method, we can make one of the variables the subject of the formula for one of the equations, then find the other variable by substituting.

Given:

  • x + 4y = 18 --> eqn. 1
  • y = -x+9 --> eqn. 2.

Substitute y = -x + 9 into equation 1.

x + 4(-x + 9) = 18

x - 4x + 36 = 18

-3x + 36 = 18

-3x = 18 - 36

-3x = -18

x = 6

Substitute x = 6 into equation 2 to find y

y = -6 + 9

y = 3

Therefore, using the substitution method, the solution to the system of linear equations, is: (6, 3).

Learn more about system of linear equations on:

brainly.com/question/11767839

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4C2 + 6C + 3C2 - 2C - 3
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<span><span> 4c2+6c-3c2-2c-3</span> </span>

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "c2"   was replaced by   "c^2".  1 more similar replacement(s).

Step by step solution :<span>Step  1  :
</span><span>Equation at the end of step  1  :</span><span><span> ((((4•(c2))+6c)-3c2)-2c)-3 </span><span> Step  2  :</span></span><span>Equation at the end of step  2  :</span><span> (((22c2 + 6c) - 3c2) - 2c) - 3 </span><span>Step  3  :</span>Trying to factor by splitting the middle term

<span> 3.1 </span>    Factoring <span> c2+4c-3</span> 

The first term is, <span> <span>c2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +4c </span> its coefficient is <span> 4 </span>.
The last term, "the constant", is <span> -3 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • -3 = -3</span> 

Step-2 : Find two factors of  -3  whose sum equals the coefficient of the middle term, which is  <span> 4 </span>.

<span><span>     -3   +   1   =   -2</span><span>     -1   +   3   =   2
</span></span>Final result :<span> c2 + 4c - 3 </span>
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Point E is on line segment DF. Given DE<br> EF.<br> 6 and DF =9, determine the length EF
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Answer:

<h2>3</h2>

Step-by-step explanation:

IF point E lies on the line segment DF, this means that all the points DEF are collinear and DE+EF = DF.

Given parameter

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Substituting the given parameter into the expression above to get the required will be;

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Step-by-step explanation:

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