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nekit [7.7K]
3 years ago
9

If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?

Mathematics
1 answer:
Alex3 years ago
7 0

Answer:

The value of y is -5

Step-by-step explanation:

we have

9x+2y=8 ------> equation A

7x+2y=4 ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

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Please answer the question now in two minutes
oksian1 [2.3K]

Answer:

Coordinates of point P is (-14,3).

Step-by-step explanation:

Given that mid point of line segment \overline {PQ} is at <em>M(-9, 8.5).</em>

Q is at <em>(-4, 14)</em>.

Let coordinate of P be (x,y).

Using the ratio, we can say the following:

<em>The coordinates of mid point</em> (X,Y) of a line with endpoints (x_1, y_1) and (x_2, y_2) is given as:

X=\dfrac{(x_1+ x_2)}{2}

Y=\dfrac{(y_1+ y_2)}{2}

Using the formula for above given dimensions:

-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14

8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3

So, the <em>coordinates of point P are</em> (-14,3).

6 0
4 years ago
At a pet shop 5 herbals out of 15 have black hair and 3 mice out of 9 have black hair. Are the ratios the Same?
dmitriy555 [2]

Answer: Yes.

Step-by-step explanation:

First ratio

5 : 15

Simplify (divide both sides by 5)

1 : 3

Second Ratio

3 : 9

Simplify (divide both sides by 3)

1 : 3

8 0
4 years ago
The product of three, and a number increased by seven, is -36 .. what is the number ?
Zina [86]

Answer:

Step-by-step explanation:

3(x+7)=-36

x+7=-12

x=-19

4 0
3 years ago
A tourist ignores the warning signs and leaves food in his car while he goes for a hike. A mama bear and her cub open the car do
alukav5142 [94]

Answer:

0 sec. I help him get the tourist too :)

Step-by-step explanation:

jk, but her cub takes 13 and the mama 4

6 0
3 years ago
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An african lion weighs 450 pounds.What is its weight in ounces?
DIA [1.3K]

Since there are 16 ounces in 1 pound. You'd multiply 450(pounds)*16(ounces) which would equal 7,200 ounces.

Hope this helped : )

7 0
3 years ago
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