Herky was given the following system of equations to solve. 3x-2y=17 x-3y=1 What is the solution to the system? (2,7

Question

Herky was given the following system of equations to solve.
3x-2y=17
x-3y=1
What is the solution to the system?
(2,7)
(20/7,67/7)
(7,2)
(67/7,20/7)

0

Answers ( No )

    0
    2021-11-23T17:43:23+00:00

    Answer: C

    Step-by-step explanation:

    0
    2021-11-23T17:43:46+00:00

    Answer:

    Option 3 (7,2) is right answer.

    Step-by-step explanation:

    Given two equations

    3x-2y=17    … i

    x-3y=1         … ii

    We can solve this by elimination.

    coefficients of x are 3 and 1 with LCD = 3

    Hence multiply ii equation by 3

    3x-9y = 3  … iv

    3x-2y = 17  … i

    Subtract i from iv

    -7y = -14

    Divide by -7

    y =2

    Substitute in ii

    x-3(2) = 1

    x=7

    Hence solution is (7,2)

    Verify:

    We can verify our solution by substituting in i and ii.

    3(7)-2(2) = 17 and 7-6 =1

    Verified

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