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Mila [183]
3 years ago
11

Please solve this by solving systems by elimination6x+3y=-187x+7y=0

Mathematics
1 answer:
gavmur [86]3 years ago
7 0

Answer:

Step-by-step explanation:

6x + 3y = -18

Taking 3 common from left side

so, 3(2x+y) = -18

2x+y = -18/3

2x+y = -6 (equation 1)

and, 7x + 7y = 0

Taking 7 as commom from left side

7(x + y) = 0

x + y = 0/7

x + y = 0 (equation 2)

now , by using elimination method

subtracting equation2 from equation1

2x + y - (x + y)= -6 - 0

2x + y - x - y = -6

x = -6

so, x = -6

substituting value of x in equation 1

2(-6) + y = -6

-12 + y = -6

y = -6 +12

y = 6

hence, the value of x = -6

          and value of  y = 6

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Jerry has a miniature model of a boat. He knows that the boat is 3 3/4 inches wide and 5 1/2 inches long. What is the actual len
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Width of the miniature model = 3\frac{3}{4} inches

Length of the miniature model = 5\frac{1}{2} inches

The actual width of the boat = 15 feet

Let us find the actual length of the boat.

Write it in a proportion form.

width of model : length of model : : width of actual : length of actual

$\Rightarrow 3\frac{3}{4}:5\frac{1}{2}::15:x

$\Rightarrow\frac{15}{4}:\frac{11}{2}::15:x

$\Rightarrow\frac{\frac{15}{4}}{\frac{11}{2}} =\frac{15}{x}

Do cross multiplication.

$\Rightarrow{\frac{15}{4}x =15\times\frac{11}{2}

$\Rightarrow{\frac{15}{4}x =\frac{165}{2}

$\Rightarrow x =\frac{165}{2}\times{\frac{4}{15}

⇒ x = 22

Hence the actual length of the boat is 22 feet.

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A driver travels 288 miles in 6 hours. What is the driver’s speed, in miles per hour? Is it 48? I got 48
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Answer:

48

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288 divided by 6 is 48 and how you get mph is todal miles in 1 hr

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Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio stati
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If the slope of a line is -1 and two points on the line are (-9, 3) and (-10, r), what is the value of r?
ANEK [815]

Answer:

r=4

Step-by-step explanation:

We know that the slope of the line is -1.

We also know that the line passes through (-9, 3) and (-10, r).

We want to find the value of r.

First, let's figure out the equation of our line. We can use the point-slope form:

y-y_1=m(x-x_1)

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -1 for m. Since we know the point (-9, 3), let's use this for (x₁, y₁).

Substitute:

y-(3)=-1(x-(-9))

Simplify:

y-3=-(x+9)

Distribute:

y-3=-x-9

Add 3 to both sides. So, our equation is:

y=-x-6

It passes through (-10, r) and we want to find the value of r. So, let's substitute -10 for x and r for y, since -10 is our x and r is our y. So:

r=-(-10)-6

Evaluate for r. Distribute:

r=10-6

Subtract:

r=4

So, the value of r is 4.

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