Solve the given system using the method of Example 3.25. x1 − x2 = 1 3x1 + x2 = 3 x = 1 0 Correct: Your answer is correct.


Answer 1


x_1 = 1


Step-by-step explanation:

The question is incomplete as the method is not given.

However, the question can still be solved.


x_1 - x_2 = 1

3x_1 + x_2 = 3

Make xi the subject in the first equation

x_1 = 1 + x_2

Substitute 1 + x2 for xi in the second equation

3(1+x_2)+x_2 = 3

Open bracket



Collect Like Terms

4x_2 = 3-3

4x_2 =0

Solve for x2



Recall that:

x_1 = 1 + x_2

x_1 = 1+0

x_1 = 1

Answer 2

Final answer:

The solution to the given system of equations is obtained through substitution. The process involves replacing a variable in one equation with an expression from the other. The final solutions are x1=1 and x2=0.


The system of equations in question is:

1) x1 - x2 = 1

2) 3x1 + x2 = 3

The method to solve this system is through substitution or elimination. First, rewrite the first equation x1 = x2 + 1. This allows us to substitute x1 - 1 for x2 in the second equation, yielding 3(x2 + 1) + x2 = 3, simplifying to 4x2 + 3 = 3. Solving for x2, we get x2 = 0. Substituting x2 into x1 = x2 + 1, we conclude that x1 = 1. Thus, the solution to the system is x1 = 1, x2 = 0.

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How much of the Fraction 3 over 8 is in the Fraction 1 over 4?

Y=BD-5, for B. solve for B​



Step-by-step explanation:

BD - 5 = Y

BD = Y + 5

B = (Y + 5)/D




The graph goes up by 10 each time. And if we start at the bottom of the graph, and count up to where the line hits another point of the graph. It goes up by 30, and moves right 10. So that means the slope is 3. Hope this helps!

Work out what x =
Please and explication



Suppose Tetha = alpha = 26°

Then ;

\tan( \alpha )  =  (y)/(x)  \n

\tan(26°)  =  (8)/(x)  \n

0.487 =  (8)/(x)  \n

Multiply sides by x

0.487x = 8

Divide sides by 0.487

x =  (8)/(0.487)  \n

x = 16.427

x≈ 16.43


Given that m angle KLH=120^ which statement about the must be true? angle HLM is bisected by angle GLJ is bisected by vec LH . m angle KLG=m angle HLJ m angle HLI=m angle LLM


The true statement is ∠HLM is bisected byLI

What is bisect?

  • Bisect means to divide a geometric figure to two equal half.
  • Dividing line is bisector.

Given that ∠KLH=120°

We know that angle of straight line is 180°





From figure, ∠HLI=30° and ∠ILM=30°

Line LI cuts the angle HLM into two equal parts such as HLI and ILM.

Therefore, ∠HLM is bisected by LI

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Answer:angle hlm is bisected by Lj

Step-by-step explanation:

the volume of a 15oz cereal box is 180.4in cube. the length of the box is 3.2 in. less than the height and the width is 2.3 in. find the height and length of the box to the nearest tenth.


The height and length of the box to the nearest tenth will be 10.6 inch and 7.4 inch respectively.


Suppose, the height of the box is h inch

As the length of the box is 3.2 in. less than the height, so the length will be: (h-3.2) inch

Given that, the width of the box is 2.3 inch. and the volume is 180.4 inch³

Formula for Volume of a box:  V= length*width*height

So, the equation will be....

(h-3.2)*2.3*h = 180.4\n \n 2.3h^2 -7.36h=180.4\n \n 2.3h^2-7.36h-180.4=0

Now using quadratic formula......

h=(-b+/-√(b^2-4ac))/(2a)\n \n h= (-(-7.36)+/-√((-7.36)^2-4(2.3)(-180.4)))/(2(2.3))\n \n h= (7.36+/-√(1713.8496))/(4.6) \n \n h=(7.36+/-41.398...)/(4.6) \n \n h= 10.599... or -7.399...

(Negative value of h is ignored as the height can't be negative)

So, the height to the nearest tenth will be 10.6 inch and the length will be: (10.6-3.2)inch= 7.4 inch

Decrease 520 by 15% what Is the answer?


The number is 442 which is obtained after decreasing 520 by 15% the answer is 442.

What is the percentage?

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

Let x be the number that is obtained after decreasing 520 by 15%

= (100 - 15)% of 520

= 85% of 520

= 0.85×520

= 442

Thus, the number is 442 which is obtained after decreasing 520 by 15% the answer is 442.

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Step-by-step explanation:

If you want to decrease 520 by 15%, you have to multiply 15% by 520 first, which is 78. Next, you have to minus 78 from 520. Now you get 442!