Question

If ordered pairs ( x + y, 4 ) and ( 6, x - y ) are equal then x and y are

1 point

3, 3

4, 2

5, 1

2, 4


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Answer 1

Answer:

If ordered pairs ( x + y, 4 ) and ( 6, x - y ) are equal then x and y are 5, 1

x=5 & y=1

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Answer 2

Given that,

(x + y, 4) = (6, x - y)

Thus,

x + y = 6___________(1)

x - y = 4____________(2)

Adding equations 1 and 2, we obtain :

$\longrightarrow$ x + y + x - y = 6 + 4

$\longrightarrow$ 2x = 10

$\longrightarrow$ x = 5

Putting x = 5 in (2), we get :

$\longrightarrow$ 5 - y = 4

$\longrightarrow$ y = 5 - 4

$\longrightarrow$ y = 1

Therefore, for the above system of equations; x = 5 and y = 1.