SaiBook.us Algebra

Home Course Section

Register Enroll

Step-4

Title: Calculate the equation

Grade: 8-a Lesson: S4-L5

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \|- 6x + 3 \| = \|- 4x \| \$
2	Formula:	By using formula	\$\| x \| = \| x \|\$
3	Hint	By removing mod we get(+) or (-)	\$x=x (or) x=-x \$
4	Step	By simplifying we get	\$ - 6x + 3 = -4x (or) - 6x + 3 = -(- 4x) = 4x \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ -6x + 4x = -3 (or) -6x - 4x = -3 \$
6	Step	After simplification we get	\$ -2x = -3 (or) -10x = -3 \$
7	Step	Dividing on both sides -2 and -10	\$ \cancel(-2)/\cancel(-2)x = (\cancel(-)3)/(\cancel(-)2) (or) \cancel(-10)/\cancel(-10)x = (\cancel(-)3)/(\cancel(-)10) \$
8	Step	After cancellation we get	\$ x = 3/2 (or) x = 3/10 \$
9		Answer	B

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ |- 6x + 3 | = |- 4x | \$

Formula:

By using formula

\$| x | = | x |\$

Hint

By removing mod we get(+) or (-)

\$x=x (or) x=-x \$

Step

By simplifying we get

\$ - 6x + 3 = -4x (or) - 6x + 3 = -(- 4x) = 4x \$

Step

Move 'x' variable terms right hand side and constant terms left hand side

\$ -6x + 4x = -3 (or) -6x - 4x = -3 \$

Step

After simplification we get

\$ -2x = -3 (or) -10x = -3 \$

Step

Dividing on both sides -2 and -10

\$ \cancel(-2)/\cancel(-2)x = (\cancel(-)3)/(\cancel(-)2) (or) \cancel(-10)/\cancel(-10)x = (\cancel(-)3)/(\cancel(-)10) \$

Step

After cancellation we get

\$ x = 3/2 (or) x = 3/10 \$

Answer