SaiBook.us Algebra

Home Course Section

Register Enroll

Step-4

Title: Calculate the equation

Grade: 8-a Lesson: S4-L8

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

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Calculate the equation \$ \| x + 10 \| = \| x - 13 \| \$
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	\$ x + 10 = x - 13 (or) x + 10 = -( x - 13 ) = - x + 13 \$
5	Step	Move 'x' variable terms right hand side and constant terms left hand side	\$ x - x = - 13 - 10 (or) x + x = 13 - 10 \$
6	Step	After simplification we get	\$ 0 = -23 (or) 2x = 3 \$
7	Step	Dividing on both sides by '2' we get	\$ \cancel2^1/\cancel2^1x = 3/2 \$
8	Step	After cancellation we get	\$ x = 3/2 \$
9		Answer	C

Step

Type

Explanation

Answer

Problem

Calculate the equation
\$ | x + 10 | = | x - 13 | \$

Formula:

By using formula

\$ | x | = | x | \$

Hint

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

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

Step

By simplifying we get

\$ x + 10 = x - 13 (or) x + 10 = -( x - 13 ) = - x + 13 \$

Step

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

\$ x - x = - 13 - 10 (or) x + x = 13 - 10 \$

Step

After simplification we get

\$ 0 = -23 (or) 2x = 3 \$

Step

Dividing on both sides by '2' we get

\$ \cancel2^1/\cancel2^1x = 3/2 \$

Step

After cancellation we get

\$ x = 3/2 \$

Answer