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2 years ago

If x+y = -10 and x-y = 2 what is the value of x

Mathematics

1 answer:

-BARSIC- [3]2 years ago

7 0

Answer:

x = -4

Step-by-step explanation:

The solution to a "sum and difference" system of equations can be found by adding the equations together.

(x +y) +(x -y) = (-10) +(2)

2x = -8 . . . . . . simplify

x = -4 . . . . . . . divide by 2

_____

Additional comment

y = -6, though this question did not ask that value.

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vesna_86 [32]

Answer:

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Step-by-step explanation:

(a)

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(b)

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(c)

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(e)

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3 years ago

Solve the system: 2x+6y=36 x+4y=20

Assoli18 [71]

Let's solve this problem step-by-step

Let's set:

2x + 6y = 36 -- equation 1

x + 4y = 20 -- equation 2

(equation 2) * 2

2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

2y = 4

y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

x + 4(2) = 20

x = 20 - 8

x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

$2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20$

Answer: x = 12 and y = 2

Hope that helps!

5 0

2 years ago