Question

if 10x +5y =15 and 5x+10y =45 what is the value of x-y​

Answer 1

Answer:

Question

✳️10x +5y =15 and 5x+10y =45 what is the value of x-y

Solution ⬇️

✍️10x+5y=15..(1)

✍️5x+10y=45..(2)

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✳️15x+15y=60.. adding equation 2 and 1

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✍️15x+15y=60.. dividing by 15

➡️x+y=4..(3)

✍️10x+5y=15..(1)

✍️(-)5x+(-)10y=(-)45..(2)

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✳️5x-5y=-30.. subtracting eq 2 and 1

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✍️5x-5y=-30.. dividing by 5

➡️x-y=-6..(4)

➡️x+y=4..(3)

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✳️2x=-2.. adding equation 3 and 4

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$= = > x = \frac{ - 2}{2} = - 1$

✍️ substituting value x=-1 in equation number 3

➡️x+y=4..(1)

✍️-1+y=4

✍️y=4+1

✍️y=5

✳️(x,y)(-1,5) is the solution of the given quadratic equation

Step-by-step explanation:

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