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3 years ago

Y=7x+3 7x-6y=-18 substitution

Mathematics

2 answers:

Lynna [10]3 years ago

6 0

Answer:

x=0

y=3

Step-by-step explanation:

y =7x+3 equation 1

7x-6y=-18 equation 2

using equation 1 in equation 2 we have:

7x-6(7x+3)= -18

7x -42x -18 = -18

-35x -18 = -18

-35x = -18 +18

-35x=0

x=0

so we have:

y =7x+3

y= 7(0) +3

y = 3

Andre45 [30]3 years ago

3 0

Answer:

$y=3$

$x=0$

Step-by-step explanation:

we have the following system of equations:

$y=7x+3\\7x-6y=-18$

the substitution method requires that we take one of the variables of one equation, and substitute that value in the other equation.

in this case taking advantage of the fact that in the first equation the value of $y$ is already cleared, we substitute it in the second equation:

$7x-6(7x+3)=-18$

and then we solve for x:

$7x-42x-18=-18\\-35x-18=-18\\-35x=-18+18\\-35x=0\\x=0$

and since x=0 substituting this into the first equation of the system to find the value of $y$ :

$y=7(0)+3\\y=3$

the answer is $y=3$ and $x=0$

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Answer:

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Step-by-step explanation:

Let the Speed of the boat still in water = a

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We know from this formula that speed = distance/time

Hence,

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zhuklara [117]

Answer:

The answer is

Step-by-step explanation:

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nlexa [21]

4 inches of rain would fall in 6 hours

<h3><u>Solution:</u></h3>

Given that, A rain storm came through Clifton park

And it was accumulating $\frac{2}{3}$ inches of rain/hour

So amount of rain accumulated in 1 hour = $\frac{2}{3}$

Thus amount of rain accumulated in six hours is calculated by multiplying the amount of water accumulating per hour and 6

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<em><u>Another way:</u></em>

Let "n" be the amount of rain accumulated in 6 hours

1 hour ⇒ $\frac{2}{3}$ rain accumulated

6 hours ⇒ "n"

By cross multiplication, we get

$6 \times \frac{2}{3} = 1 \times n\\\\n = \frac{2}{3} \times 6 = 4$

Hence, 4 inches of rain would fall in 6 hours.

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3 years ago