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2 years ago

Solve the simultaneous equations by substitution 3 x − 7 y = − 10 x = 5 y + 2

Mathematics

1 answer:

mojhsa [17]2 years ago

5 0

Answer:

$3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\$

Substituting Equation 2 into equation 1

$3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\$

Substitute the value of y into Equation 2

$x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\$

Therefore x=-8, y=-2

Step-by-step explanation:

Have a nice day :)

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2 years ago

For a certain commodity the supply equation is given by S = 2p + 5 At a price of $1, there is a demand for 19 units of the commo

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Answer:

The demand equation is: D=-4p+23

Step-by-step explanation:

To get started, we should keep in mind that the market price (p=3) occurs when supply equals demand ,therefore when p=3

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We already know two points on the demand curve. Great!

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3 years ago

Read 2 more answers

is vector v with an initial point of (-5,22) and a terminal point of (20,60) equal to vector u with an intintal point of (50,120

marta [7]

Answer:

Yes, vectors u and v are equal.

Step-by-step explanation:

We need to check whether vectors u and v are equal or not.

If the initial point is $(x_1,y_1)$ and terminal point is $(x_2,y_2)$ , then the vector is

$Vector=(x_2-x_1)i+(y_2-y_1)j$

Vector v with an initial point of (-5,22) and a terminal point of (20,60).

$\overrightarrow v=(20-(-5))i+(60-22)j$

$\overrightarrow v=25i+38j$ ..... (1)

Vector u with an initial point of (50,120) and a terminal point of (75,158).

$\overrightarrow u=(75-50)i+(158-120)j$

$\overrightarrow u=25i+38j$ .... (2)

From (1) and (2) we get

$\overrightarrow u=\overrightarrow v$

Therefore, vectors u and v are equal.

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