MATHEMATICS HIGH SCHOOL

Eliminate the y in the following system of equations. What is the result when you add the two equations?x+y=2
3x-4y=27

A.7x=29
B.x=-23
C.7x=35
D.4x=29

Answers

Answer 1
Answer:

Final answer:

By manipulating and then adding the given system of equations, we can eliminate the variable 'y', resulting in the equation 7x = 35.

Explanation:

To eliminate the variable y in the given system of equations, we need to manipulate the equations to cancel out the y term. The system of equations is:

x + y = 2

3x - 4y = 27

We can accomplish y-elimination by first multiplying the first equation by 4 to match the coefficient in front of y in the second equation. The equations now are:

4x + 4y = 8

3x - 4y = 27

Now, we can add the two equations together, effectively eliminating the y-variable:

4x + 3x = 8 + 27

7x = 35

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Answer 2
Answer:

Answer:

C

Step-by-step explanation:

x + y = 2

Subtract x from both sides;

y = -x + 2

3x - 4y = 27

Substitute y;

3x - 4(-x + 2) = 27

Distribute;

3x + 4x - 8 = 27

7x - 8 = 27

Add 8 to both sides;

7x = 35

Divide both sides by 7;

x = 5

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Given that, in a right triangle, the length of one leg is 6 units. The length of the other leg is 8 units.

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The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angledtriangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

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hypotenuse = √(6^2+8^2)= √(36+64)= √(100)=10 \ units

What adds up to 9 and multiplies to 18

Answers

If you start adding all the way until you find what equals 9, then you multipliy the answer to see if it gets the answer 18.
8+1=9, so you check to see if 8 times 1 equals 18, this doesn't
5+4=9, check 5 times 4 equals 20, this doesn't equal 18
6+3=9, check 6 times 3 equals 18, so 6+3 is your answer!
Hope I helped!
3+3+3 =9 & 3x6=18 so it is 3

Find the -intercept and -intercept of the line.3x-7y=-21

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Answers

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Answers

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