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What is y-10 = 9(x+8) written in standard form?

a) 9x - y = 70
b) 9x - y = 74
c) 9x - y = 10
d) y + 10 = 9(x + 8)

1 Answer

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Final answer:

To write the equation y-10 = 9(x+8) in standard form, distribute the 9 and rearrange the equation to get the variables on one side and the constant term on the other side. Subtract the x term from both sides to have the equation in standard form.

Step-by-step explanation:

To write the equation y-10 = 9(x+8) in standard form, we need to distribute the 9 to the terms inside the parentheses. This gives us y - 10 = 9x + 72. Next, we rearrange the equation to get the variables on one side and the constant term on the other side. Adding 10 to both sides, we have y = 9x + 82.

Finally, we rearrange the equation so that the x term comes before the y term. To do this, we subtract 9x from both sides, resulting in -9x + y = 82.

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