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lozanna [386]
3 years ago
15

Solve for the variable. Show each step in the solution process.​

Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

z = 1/2

Step-by-step explanation:

Step 1: Write equation

22z + 6 - 10 = 6z + 4

Step 2: Solve for <em>z</em>

  1. Combine like terms: 22z - 4 = 6z + 4
  2. Subtract 6z on both sides: 16z - 4 = 4
  3. Add 4 to both sides: 16z = 8
  4. Divide both sides by 16: z = 8/16
  5. Simplify: z = 1/2

Step 3: Check

<em>Plug in z to verify it's a solution.</em>

22(1/2) + 6 - 10 = 6(1/2) + 4

11 - 4 = 3 + 4

7 = 7

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Step-by-step explanation:

Solution:-

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Factor Approach:

- Using the constant "7" at the end of the quadratic equation we will determine two integer multiples such that their additions/subtraction results in "-8".

- So the only factor of "7" are:

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- So the solution to the quadratic equation is:

                        x = 1 , 7

               

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