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insens350 [35]
2 years ago
6

Rendering math...While solving an equation, Wayra made some mistakes. Her solution is given below. Please help her to identify t

he step in which there is a mistake and also the right solution. Step 1: 13(z+6) = 4(z-3)-5z Step 2: 13z+19 = 4z-12-5z Step 3: 13z+19 = z-12 Step 4: 13z+z = -19-12 Step 5: 14z =-31 Step 6: z =-3114 Wayra has made a mistake at?
Mathematics
1 answer:
solong [7]2 years ago
5 0

Answer:

<em><u>According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.</u></em>

<em><u>She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z</u></em>

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

<em><u>According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.</u></em>

<em><u>She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z</u></em>

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