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Lesson Example Discussion Quiz: Class Homework

Step-5

Title: Linear Equations with One Variable

Grade: 10-a Lesson: S1-L1

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the value of x that satisfies the equation \$(1/2)(4x - 6) = 3\$.
2	Step	Using cross multiplication	4x - 6 = 6
3	Step	Move x coefficient to right hand side to solve for x	⇒ \$ x = 12/4 \$ ⇒ x = 3
4	Choice.A	If we substitute x = 2 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(2)−6) = (1/2) (8−6) = (1/2) (2) = 1\$, which is not equal to 3. Therefore, option A is incorrect	x = 2
5	Choice.B	If we substitute x = 6 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(6)−6) = (1/2) (24−6) = (1/2) (18) = 9\$, which is not equal to 3. Therefore, option B is incorrect	x = 6
6	Choice.C	If we substitute x = 3 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(3)−6) = (1/2) (12−6) = (1/2) (6) = 3\$, which is equal to 3. Therefore, option C is correct	x = 3
7	Choice.D	If we substitute x = 7 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(7)−6) = (1/2) (28−6) = (1/2) (22) = 11\$, which is not equal to 3. Therefore, option D is incorrect	x = 7
8	Answer	Option	C
9	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the value of x that satisfies the equation \$(1/2)(4x - 6) = 3\$.

Step

Using cross multiplication

4x - 6 = 6

Step

Move x coefficient to right hand side to solve for x

⇒ \$ x = 12/4 \$

⇒ x = 3

Choice.A

If we substitute x = 2 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(2)−6) = (1/2) (8−6) = (1/2) (2) = 1\$, which is not equal to 3. Therefore, option A is incorrect

x = 2

Choice.B

If we substitute x = 6 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(6)−6) = (1/2) (24−6) = (1/2) (18) = 9\$, which is not equal to 3. Therefore, option B is incorrect

x = 6

Choice.C

If we substitute x = 3 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(3)−6) = (1/2) (12−6) = (1/2) (6) = 3\$, which is equal to 3. Therefore, option C is correct

x = 3

Choice.D

If we substitute x = 7 into the equation \$(1/2)(4x−6) = 3\$, we get \$(1/2) (4(7)−6) = (1/2) (28−6) = (1/2) (22) = 11\$, which is not equal to 3. Therefore, option D is incorrect

x = 7

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?