What is the equation x = y + z solved for z?
𝟏. 𝐓𝐡𝐞 𝐟𝐨𝐫𝐦𝐮𝐥𝐚 𝐕 = 𝐥𝐰𝐡 𝐢𝐬 𝐮𝐬𝐞𝐝 𝐭𝐨 𝐜𝐚𝐥𝐜𝐮𝐥𝐚𝐭𝐞 𝐭𝐡𝐞 𝐯𝐨𝐥𝐮𝐦𝐞 𝐨𝐟 𝐚 𝐫𝐞𝐜𝐭𝐚𝐧𝐠𝐮𝐥𝐚𝐫 𝐩𝐫𝐢𝐬𝐦. 𝐖𝐡𝐚𝐭 𝐢𝐬 𝐭𝐡𝐞 𝐞𝐪𝐮𝐚𝐭𝐢𝐨𝐧 𝐬𝐨𝐥𝐯𝐞𝐝 𝐟𝐨𝐫 𝐡? - 𝐂. 𝐕/𝐥𝐰 = 𝐡
𝟐. 𝐖𝐡𝐚𝐭 𝐢𝐬 𝐭𝐡𝐞 𝐞𝐪𝐮𝐚𝐭𝐢𝐨𝐧 𝐱 = 𝐲 + 𝐳 𝐬𝐨𝐥𝐯𝐞𝐝 𝐟𝐨𝐫 𝐳? - 𝐃. 𝐱 - 𝐲 = 𝐳
𝟑. 𝐈𝐧 𝐭𝐡𝐞 𝐟𝐨𝐫𝐦𝐮𝐥𝐚 𝐫𝐭 = 𝐝, 𝐫 𝐢𝐬 𝐫𝐚𝐭𝐞, 𝐭 𝐢𝐬 𝐭𝐢𝐦𝐞, 𝐚𝐧𝐝 𝐝 𝐢𝐬 𝐝𝐢𝐬𝐭𝐚𝐧𝐜𝐞. 𝐖𝐡𝐚𝐭 𝐢𝐬 𝐭𝐡𝐞 𝐫𝐚𝐭𝐞 𝐟𝐨𝐫 𝐚 𝐫𝐮𝐧𝐧𝐞𝐫 𝐰𝐡𝐨 𝐜𝐨𝐦𝐩𝐥𝐞𝐭𝐞𝐬 𝟕.𝟓 𝐦𝐢𝐥𝐞𝐬 𝐢𝐧 𝟏.𝟓 𝐡𝐨𝐮𝐫𝐬? - 𝐃. 𝟓.𝟎𝐦𝐩𝐡
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x = y + z
Subtract y from both sides.
x - y = z
Well, the equation x = y + z is quite simple. To solve it for z, all you have to do is subtract y from both sides. So, now we have z = x - y. Voila! That's the equation solved for z. But don't you think it's more fun when z is surrounded by other letters, like a nice cozy alphabet sandwich?
To solve the equation x = y + z for z, we need to isolate z on one side of the equation.
Step 1: Start with the given equation:
x = y + z
Step 2: Move the y term to the other side by subtracting y from both sides of the equation:
x - y = y + z - y
Simplifying the equation further:
x - y = z
Therefore, the equation x = y + z solved for z is z = x - y.