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kaheart [24]
3 years ago
5

If y=1/2x+5 then what is 2y+5x=-2

Mathematics
1 answer:
salantis [7]3 years ago
5 0
(-2,4) 

2(1/2x+5)+5x=-2
x=-2

plug it back into and equation 

y=1/2*-2+5
y=4

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Simultaneous equations 5x+y=28 x+y=2
ludmilkaskok [199]

Answer:

<h2>( \frac{13}{2}  \:,  -  \frac{9}{2} )</h2>

Step-by-step explanation:

5x + y = 28

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Solve the equation for y by moving 'x' to R.H.S and changing its sign

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Substitute the given value of y into the equation 5x + y = 28

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Divide both sides of the equation by 4

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Calculate

x =  \frac{26}{4}

Reduce the numbers with 2

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Now, substitute the given value of x into the equation y = 2 - x

y = 2 -  \frac{13}{2}

Solve the equation for y

y =  -  \frac{9}{2}

The possible solution of the system is the ordered pair ( x , y )

<h2>(x \: y) = ( \frac{13}{2} , \:  -  \frac{9}{2} )</h2>

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

5 \times  \frac{13}{2}  -  \frac{9}{2}  = 28

\frac{13}{2}  -  \frac{9}{2}  = 2

Simplify the equalities

28 = 28

2 = 2

Since , all of the equalities are true, the ordered pair is the solution of the system.

(x  \:, y \: ) = ( \frac{13}{2}  \: , -  \frac{9}{2})

Hope this helps....

Best regards!!

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