x - 2y + z = 5 | *2
⇒ 2x - 4y+ 2z=10
3x + 3y - 2z = - 6 } I sum up these relations
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2x+3x - 4y+3y+2z-2z=10-6
5x - y = 4 (1)
3x + 3y - 2z = - 6 | *3 ⇒ 9x + 9y - 6z = - 18
2x - y + 3z = 11 | *2 ⇒ 4x - 2y + 6z= 22 I sum up these
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⇒ 9x+4x+9y-2y-6z+6z= 4
13x+ 7y= 4 (2)
I write (1) and (2)
5x - y = 4 | *7
35x - 7y= 28
13x+7y=4
48x = 32
x= 32/48=4/6 ( 32:8=4, 48:8=6)
x= 2/3
5x-y=4,
5*2/3-y=4
y=10/3 -4=10/3-12/3=-2/3
⇒ y= - 2/3
x - 2y + z = 5
2/3 - 2*(-2/3)+z=5
2/3+4/3+z=5
6/3+z=5
2+z=5
z=3
x+y+z=2/3-2/3+3=3
x+y+z=3
567 is the answer to your question
The correct question is
<span>A 15-foot ladder is leaning against a house. the base of the ladder is 4 feet from the house. to the nearest tenth of a foot. </span>How high up the house does the ladder reach?
see the picture attached to better understand the problem
applying the Pythagoras Theorem
15²=4²+h²-----> h²=15²-4²-----> h²=225-16----> h=√209
h=14.46 ft------> h=14.5 ft
the answer is14.5 ft
The tangent ratio is an illustration of the trigonometry identity
The value of x that is not a solution of tan(x) = 1 is 3
/4
<h3>How to determine the value that is not a solution</h3>
The trigonometry identity is given as:
tan(x) = 1
Next, we test the x values using a calculator.
When
, we have:
tan(-7
/4) = 1
When x = 3
/4, we have:
tan(3
/4) = -1
When x = 5
/4, we have:
tan(5
/4) = 1
When x =
/4, we have:
tan(
/4) = 1
Hence, the value of x that is not a solution of tan(x) = 1 is 3
/4
Read more about trigonometry identity at:
brainly.com/question/7331447
Simplify x - 3/3 to -1 + x/3
regroup terms
multiply both sides by 6 (The LCM of 2,3)
expand
subtract 2x from both sides
simplify 3x + 12 - 2x to x + 12
subtract 12 from both sides
simplify -6 - 12 to -18
Answer: x = -18.