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18 September, 16:59

One number is 4 more than 4 times another. Their sum is 19. Find the two numbers.

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  1. 18 September, 17:07
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    they are 16 and 3

    Step-by-step explanation:

    y=4+4x and x+y=19 so now use system of equations

    -4x+y=4 and x+y=19 now multiply the entire second equation by 4

    -4x+y=4 and 4x+4y=76 now add the equations to cancel out the Xs

    5y=80 now you solve for y by dividing both sides by 5 to get y=16

    so now that you know y=16, you can plug it in to either original equation to solve for x. I chose x+y=19 because it is a simpler equation

    x+y=19

    x+16=19

    x=19-16

    x=3

    so the two numbers are 16 and 3 because y=16 and x=3

    let me know if you need further clarification, this was a little quick
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