What values of x and y simultaneously satisfy the two equations given? y = 2x – 3
y =[tex]\frac{1}{3}[tex] x + 2

9514 1404 393

  (x, y) = (3, 3)

Step-by-step explanation:

The two expressions for y can be set equal:

  2x -3 = 1/3x +2

  5/3x = 5 . . . . . . add 5 -1/3x

  x = 3 . . . . . . . . . multiply by 3/5

  y = 2(3) -3 = 3 . . . find y using the first equation

The solution to the system of equations is (x, y) = (3, 3).

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

for the free

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