MATHEMATICS HIGH SCHOOL

Solve the following system of equations?x + 3y - z = 2
x - 2y + 3z = 7
x + 2y - 5z = -21
a)(2, 3, 5)
b)(-2, 3, 5)
c)(2, -3, 5)
d)(2, -3, 5)

Answers

Answer 1
Answer: 1x + 3y - 1z = 2    ⇒ 1x + 3y - 1z = 2
1x - 2y + 3z = 7    ⇒ 1x - 2y + 3z = 7
1x + 2y - 5z = -21             5y - 4z = -5
                                                                     5y - 4z = -5   ⇒ -20y + 16z = 20
1x + 3y - 1z = 2                                          -4y + 8z = -28 ⇒ -20y -  40z = -140        1x - 2y + 3z = 7     ⇒ 1x - 2y + 3z = 7                                              -24z = -120
1x + 2y - 5z = -21 ⇒ 1x + 2y - 5z = -21                                            -24      -24
                                       -4y + 8z = -28                                                  z = 5
                                                                                                    5y - 4(5) = -5
                                                                                                      5y - 20 = -5
                                                                                                           +20   +20
                                                                                                             5y = 15
                                                                                                              5      5
                                                                                                               y = 3
                                                                                                x + 3(3) - 5 = 2
                                                                                                    x + 9 - 5 = 2
                                                                                                         x + 4 = 2
                                                                                                              -4  -4
                                                                                                               x = -2
                                                                                                      (x, y, z) = (-2, 3, 5)
The solution to the answer is B. (-2, 3, 5).

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Answers

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What is the sum of the geometric series 2^0 + 2^1 + 2^2 + 2^3 + 2^3 + 2^4 + … + 2^9?

Answers

the nth term is
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Write a word phrase for 49+m

Answers

The sum of 49 and m.

Answer:

Step-by-step explanation:

Mathematical expressions are expressions which are combinations of constants, variables and mathematical operations . A constant is a symbol in maths which has fixed numerical value for example 2 , 3, -6, (2)/(3) are constants .A variable is a symbol in algebra which takes various numerical values and has no fixed value . Mathematical operations include +,-,/ ,*.

By term word phase, we mean mathematical expression using constants and variables.

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Word Phase:

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Here, 49 is a constant

m is a variable

+ is a mathematical operation.

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Answers

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The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagorean theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs.

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Answer:

2a² = c²

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Answers

y=2x-5 \n4x-y=7 \n \n\hbox{substitute 2x-5 for y in the 2nd equation and solve for x:} \n4x-(2x-5)=7 \n4x-2x+5=7 \n2x+5=7 \n2x=7-5 \n2x=2 \nx=(2)/(2) \nx=1 \n \n\hbox{substitute 1 for x in the 1st equation:} \ny=2 * 1-5=2-5=-3 \n \n\hbox{the answer:} \nx=1 \n y=-3
This is straight forward:
You have already said:    y = 2x - 5 ...........(i)
                                             4x - y = 7............(ii)
So anywhere we see, y in equation (ii) we replace it with (2x - 5).
                                            4x - (2x - 5) = 7
                                             4x - 2x + 5  = 7
 Note minus sign before the bracket, changes sign inside the bracket.
                                              2x  + 5 = 7
                                              2x =  7 - 5.
                                              2x = 2        Divide both sides by 2.
                                                x  = 2/2
                                                x =1.
Remember from (i)  y = 2x - 5,  y = 2*1 - 5 = 2-5 = -3.
Therefore,  x = 1,    y = -3.
Those are the steps.

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Answers

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Step-by-step explanation:
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