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Irina-Kira [14]
3 years ago
11

Pls answer

Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

Answer:

Point R

Step-by-step explanation:

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Elimination_4x_2y=14<br> _10x+7y=_24
Gnesinka [82]

Answer:

The answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

Step-by-step explanation:

Given:

-4x-2y=14

-10x+7y=-24

Now, to solve it by elimination:

-4x-2y=14   ......(1)

-10x+7y=-24 ......(2)

So, we multiply the equation (1) by 7 we get:

-28x-14y=98

And, we multiply the equation (2) by 2 we get:

-20x+14y=-48

Now, adding both the new equations:

-28x-14y+(-20x+14y)=98+(-48)

-28x-14y-20x+14y=98-48

-28x-20x-14y+14y=50

-8x=50

<em>Dividing both the sides by -8 we get:</em>

x=-\frac{50}{8}

Now, putting the value of x in equation (1):

-4x-2y=14

-4(-\frac{50}{8})-2y=14

\frac{200}{8} -2y=14

25-2y=14

<em>Subtracting both sides by 25 we get:</em>

-2y=-11

<em>Dividing both sides by -2 we get:</em>

y=\frac{11}{2}

Therefore, the answer is x=-\frac{50}{8}  and y=\frac{11}{2}.

5 0
3 years ago
Fill in the blank. In the triangle below, x =
Evgesh-ka [11]
Hello, i definitely don’t know i just need to answer something sorry
4 0
2 years ago
What is the value of m, if the equation my2+2y−4=0 has exactly one root?
stich3 [128]

Answer:

m=\frac{-1}{4}

Step-by-step explanation:

A quadratic equation has one root if the discriminant is 0.

That is we need b^2-4ac=0 for this particular question.

Compare the following to find a,b, \text{ and } c:

ax^2+bx+c=0

my^2+2y-4=0

The variable x is representative of the variable y here.

a=m

b=2

c=-4

Plug in into b^2-4ac=0:

(2)^2-4(m)(-4)=0

4+16m=0

Subtract 4 on both sides:

16m=-4

Divide both sides by 16:

m=\frac{-4}{16}

Reduce:

m=\frac{-1}{4}

6 0
3 years ago
Read 2 more answers
Two lines, A and B, are represented by the following equations:
almond37 [142]

Answer:

D.

Step-by-step explanation:

The solution is where the lines intersect which is at the point (3,2).

So the answer is Option D.

The point (3,2) satisfies both equations.

4 0
3 years ago
Read 2 more answers
3x+y=115x-y=21 Directions: Solve each system of equations by elimination. Clearly identify your solution.
olchik [2.2K]

To solve, we will follow the steps below:

3x+y=11 --------------------------(1)



5x-y=21 ------------------------------(2)

since y have the same coefficient, we can eliminate it directly by adding equation (1) and (2)

adding equation (1) and (2) will result;

8x =32

divide both-side of the equation by 8

x = 4

We move on to eliminate x and then solve for y

To eliminate x, we have to make sure the coefficient of the two equations are the same.

We can achieve this by multiplying through equation (1) by 5 and equation (2) by 3

The result will be;

15x + 5y = 55 ----------------------------(3)

15x - 3y =63 --------------------------------(4)

subtract equation (4) from equation(3)

8y = -8

divide both-side of the equation by 8

y = -1

8 0
1 year ago
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