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HACTEHA [7]
2 years ago
5

How do you solve -3x+y=7 5x+2y=3 by substitution method??

Mathematics
2 answers:
JulsSmile [24]2 years ago
8 0
Yes you would have to solve this problem by substitution method
lakkis [162]2 years ago
8 0

Answer:

(-1,4)

Step-by-step explanation:

-3x + y = 7......y = 3x + 7

so sub in 3x + 7 in for y back into the other equation

5x + 2y = 3

5x + 2(3x + 7) = 3 ...distribute thru the parenthesis

5x + 6x + 14 = 3....subtract 14 from both sides

5x + 6x = 3 - 14...combine like terms

11x = - 11...divide both sides by 11

x = -11/11

x = -1

now that we know x = -1, we can sub that back into either of the original equations to find y

y = 3x + 7

y = 3(-1) + 7

y = -3 + 7

y = 4

so we have (-1,4) as a solution....but lets check it first

-3x + y = 7

-3(-1) + 4 = 7

3 + 4 = 7

7 = 7 (correct)...it checks out

so ur solution is : x = -1 and y = 4 or (-1,4)

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Peter leaves his house and walks 15 meters south, then turns east and walks another 15 meters. How far is he from his house? Rou
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When Peter does this, he is creating two sides of a right-angle triangle. The distance from his house to that point will be the hypotenuse of the triangle thus, to work out the length of the hypotenuse, we have to use Pythagoras Theorem! So:

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3 years ago
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A firm determines its profit by subtracting from .
Masteriza [31]

Answer:

A firm determines its profit by subtracting "Total Cost" from "Total Revenue".

Step-by-step explanation:

We have been given a statement "A firm determines its profit by subtracting _____ from ______. Now we need to fill the blanks with suitable words.

We know that there are some initial costs associated with production of any product. So to get the profit, we need to subtract the cost that that is spent during production of the product from total sales.

Hence final answer can be written as:

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3 years ago
Select the equation of the line that passes through the point (5,7) and is perpendicular to the x = 4
Kamila [148]

Answer:

y= -1*x +12

Step-by-step explanation:

x=4 is a function that always has the value 4 for the x-axis, no matter y variable, this a vertical function.

Perpendicular Lines are those with the following condition:

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y=c*x+d (2)

Where a and c are the respective slope

If These two lines are perpendicular, then

a=- 1/c

Using those principles we have that the slope for our needed line has to be -1, since the slope for the first line is 1 (the coefficient of x is 1, in the line x=4)

Lets use the given point (5,7) in the equation (2)

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