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MatroZZZ [7]
2 years ago
12

Solve the simultaneous equation: 5 x + 2 y = 25 5 x − y = 10

Mathematics
2 answers:
lisov135 [29]2 years ago
8 0

Answer:

x= 3 y= 5

Step-by-step explanation:

5x+ 2y=25

5x-y=10

therefore 2(5x-y=10)

10x-2y=20

equation 2÷ eqation1

we get 15x=45

x=3

y=5

Liono4ka [1.6K]2 years ago
4 0

Answer:

(x, y) = (3, 5)

Step-by-step explanation:

5x+2y=25\\5x-y=10

Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:

5x+2y=25\\\\2(5x-y=10)\\10x-2y=20

Add from top to bottom:

\rightarrow (5x+10x)+(2y-2y)=25+20\\\rightarrow 15x=45\\\rightarrow x=3

Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:

\rightarrow 5x-y=10\\\rightarrow 5(3)-y=10\\\rightarrow 15-y=10\\\rightarrow -y=-5\\\rightarrow y=5

(x, y) = (3, 5)

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Reasoning Graph the set of ordered pairs (0, 2). (1.4), (2,6). (3.8). Determine whether the relationship is a linear function Ex
polet [3.4K]

Answer:

No, it does not. See below.

Step-by-step explanation:

Lets find out the linear equation that passes trough (-2, 0) and (0, -6).

We know every linear equation has the form: y = mx + b

Where m is the slope on the curve and b the independent term.

We know that, given 2 points (x1,y1) and (x2,y2) we can find the slope m as:

m = (y2-y1)/(x2-x1)

In our case lets replace (x1,y1) and (x2,y2) by (-2, 0) and (0, -6) (notice it could be done in the inverse sense where (-2, 0) is (x2,y2) and (0, -6) is (x1,y1) ). So, our slope is:

m = [-6 - 0] / [0 - (-2)]

m = -6/2 = -3

So, we have a downward linear function with slope -3, this is:

y =  -3x + b

Now, for finding b just replace any of the 2 points given in the equation. Lets replace (-2, 0):

0 = -3(-2) + b

0 = 6 + b

Subtracting 6 in both sides:

-6 = b

So, our independent term is -6 and the function is:

y = -3x - 6

Now lets see if this linear eqution passes trough (2,6). If it does, we can replace the values on the equation. Replacing x by 2:

y = -3(2) - 6 = = -6 - 6 = - 12

So, in our equation, we x is 2 y is -12, and not 6 as in the point (2,6). So, our equation does not passes trough (2,6)

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If Mary divides one third of a pound of coconut equally between 8 desserts, how much goes into each dessert?
GarryVolchara [31]

Answer:

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Step-by-step explanation:

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1/3 of 16 ounces is 16/3

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