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30 May, 15:57

How to substitute 3x+3y=-3 and y=5x-1?

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  1. 30 May, 16:24
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    Since y = 5x-1, we can fill it into 3x + 3y = - 3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = - 3, all we need to do is to switch the y in 3x + 3y = - 3 with 5x - 1. So it would become 3x + 3 (5x - 1) = - 3. Now we distribute to get 3x + 15x - 3 = - 3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5 (0) - 1. Now we know that y = - 1.

    To check fill in the answer to 3x + 3y = - 3.

    3 (0) + 3 (-1) = - 3

    0 + (-3) = - 3

    0 - 3 = - 3

    -3 = - 3

    Now that our check is completed we now know that x is 0 and y is - 1.
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