2/5x – 1/5y = 98 2/7x – 1/14y = 55 If the ordered pair (x, y) satisfies the system of equations shown above, what is the v

Question

2/5x – 1/5y = 98
2/7x – 1/14y = 55
If the ordered pair (x, y) satisfies the system of
equations shown above, what is the value of x?

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Vân Khánh 4 years 2021-07-27T02:31:06+00:00 1 Answers 14 views 0

Answers ( )

    0
    2021-07-27T02:32:56+00:00

    Answer:

    x = 140

    Step-by-step explanation:

    Given the equations

    \frac{2}{5} x – \frac{1}{5} y = 98 ( multiply through by 5 to clear the fractions )

    2x – y = 490 → (1)

    \frac{2}{7} x – \frac{1}{14} y = 55 ( multiply through by 14 to clear the fractions )

    4x – y = 770 → (2)

    Subtract (1) from (2) term by term to eliminate y

    2x + 0 = 280

    2x = 280 ( divide both sides by 2 )

    x = 140

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