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SpyIntel [72]
3 years ago
14

Solve the following by substitution : -x + y = 10x - y = 5

Mathematics
2 answers:
koban [17]3 years ago
7 0
\begin{cases} x + y = 10 \\ x - y = 5 \end{cases}\\ \\ \begin{cases} y = 10 -x\\ x - y = 5 \end{cases}\\ \\ \begin{cases} y = 10 -x\\ x - (10-x) = 5 \end{cases}\\ \\ \begin{cases} y = 10 -x\\ x - 10+x = 5 \end{cases}\\ \\

\begin{cases} y = 10 -x\\ 2x - 10 = 5 \end{cases}\\ \\\begin{cases} y = 10 -x\\ 2x = 5 +10 \end{cases}\\ \\ \begin{cases} y = 10 -x\\ 2x =15 \ \ /:2 \end{cases}\\ \\ \begin{cases} y = 10 -x\\ x =\frac{15}{2} \end{cases}\\ \\

\begin{cases} y = 10 - 7\frac{1}{2}\\ x =7\frac{1}{2} \end{cases}\\ \\ \begin{cases} y = 2\frac{1}{2}\\ x = 8\frac{1}{2} \end{cases}\\ \\
 

Virty [35]3 years ago
5 0
Your question is  -

x + y = 10
x - y = 5

Now, let us solve this system by the substitution method.

According to equation 2 ,

x - y = 5

thus, x = 5 + y

Substituting the value of x in equation 1,

(5 + y) + y = 10

5 + 2y = 10

2y = 10 - 5 = 5

thus, y = 5/2


Substituting the value of y in value of x,

x = 5 + y

= 5 + 5/2

= 15/2

Thus, x = 15/2 ( or 7.5) y = 5/2 ( or 2.5)
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Oof this is probably really simple to most of y'all but I'm out of it.
Lelechka [254]

Answers:

  • angle1 = 156 degrees
  • angle2 = 24 degrees

=======================================================

Explanation:

The two angles form a straight line, which is 180 degrees

Add up the angle expressions and set the sum equal to 180.

(angle1) + (angle2) = 180

(4x) + (x-15) = 180

(4x+x)-15 = 180

5x-15 = 180

5x = 180+15

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We use that x value to find each missing angle

  • angle1 = 4x = 4*39 = 156 degrees
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Then notice how angle1+angle2 = 156+24 = 180 to verify the answer.

Side note: Angles that add to 180 are considered supplementary.

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