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3 years ago

10

Caitlyn needs to solve the equation: 2(3x+1)=3(2-x). after copying the problem correctly she uses the Properties of Algebra to s

olve for x in 5 steps. There is a reason the justifies each step. What is the justification that Caitlyn used for each step? Name each Property of Algebra.
Step 1 6x + 2 = 6 - 3x
Step 2 2 = 6 - 9x
Step 3 -4 = -9x
Step 4 4/9 = x
Step 5 x = 4/9

2 answers:

zhuklara [117]3 years ago

8 0

Answer:

See below.

Step-by-step explanation:

Step 1 6x + 2 = 6 - 3x Distributive property of multiplication over addition

Step 2 2 = 6 - 9x Subtraction property of equality

Step 3 -4 = -9x Subtraction property of equality

Step 4 4/9 = x Division property of equality

Step 5 x = 4/9 Symmetric property of equality

astra-53 [7]3 years ago

3 0

Answer:

x=49

Step-by-step explanation:

2(3x+1)=3(2−x)

Step 1: Simplify both sides of the equation.

2(3x+1)=3(2−x)

(2)(3x)+(2)(1)=(3)(2)+(3)(−x)(Distribute)

6x+2=6+−3x

6x+2=−3x+6

Step 2: Add 3x to both sides.

6x+2+3x=−3x+6+3x

9x+2=6

Step 3: Subtract 2 from both sides.

9x+2−2=6−2

9x=4

Step 4: Divide both sides by 9.

9x9=49

x=49

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8. The length of the support is 7. 9 m

9. The length of the conveyer is 12m

3. a = 59m

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B = 52°

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8. We have the angle to be 20 degrees

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Using the sine ratio

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Cross multiply

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9. The angle of elevation is 37. 3 degrees

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