solve 8x + 3y = 13 3x + 2y = 11 by using elimination. SHOW ALL WORK!! PLEASE HELP!!! THANK YOU SO MUCH!! :)))))

Question

solve 8x + 3y = 13 3x + 2y = 11 by using elimination. SHOW ALL WORK!! PLEASE HELP!!! THANK YOU SO MUCH!! :)))))

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1 week 2021-09-11T01:26:15+00:00 2 Answers 0

Answers ( )

    0
    2021-09-11T01:27:24+00:00

    Hey There!

    We have been given:

    8x + 3y = 13 \\ 3x + 2y = 11

    Find the lcm of 3 and 2 to eliminate one equation:

    3 * 2 = 6

    2 * 3 = 6

    Multiply each equation to get to 6:

    2(8x + 3y = 13)\\ 16x + 6y = 26

    3(3x + 2y = 11)\\ 9x+6y=33

    Eliminate:

    16x + 6y = 26\\ -(9x+6y=33)\\ -9x - 6y=-33

    Simplify:

    16x + 6y = 26\\ -9x - 6y=-33 \\ 7x = -7

    Solve for x by dividing 7 in both sides:

    7x = -7\\ x = -1

    Solve for y by substituting x in any equation with -1:

    8(-1) + 3y = 13

    Simplify:

    -8 + 3y = 13

    Add 8 in both sides:

    3y = 21

    Solve for y by dividing 3 in both sides:

    y = 7

    The value of x is -1 and the value of y is 7

    Our answers:

    x = -1

    y = 7

    0
    2021-09-11T01:27:41+00:00

    Answer:Y=7

    Step-by-step explanation:

    -8x-3y = -13    (eq 1)

    -3x-2y = -11    (eq 2)

    First, multiply equation 1 by 2.

    -16x-6y = -26

    Second, multiply equation 2 by 3.

    -9x-6y = -33

    Subtract the system of equations:

    -16x-6y = -26

    -9x-6y = -33

    -7x = 7

    x = -1

    Substitute this value into one of the original equations to solve for y

    -3x-2y = -11

    -3(-1)-2y = -11

    3-2y = -11

    -2y = -14

    y = 7

    Really hope this helps  🙂

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