Wednesday, November 8, 2023

Simple Linear Equations

 https://www.youtube.com/watch?v=wb0yeN7gl7E


Equation: 2x - 3 = 7

Steps to Solve:

a. Add 3 to both sides to isolate the term with x: 2x - 3 + 3 = 7 + 3

b. Simplify: 2x = 10

c. Divide both sides by 2 to solve for x: 2x / 2 = 10 / 2

d. Simplify: x = 5


Equation: 4y + 6 = 18

Steps to Solve:

a. Subtract 6 from both sides to isolate the term with y: 4y + 6 - 6 = 18 - 6

b. Simplify: 4y = 12

c. Divide both sides by 4 to solve for y: 4y / 4 = 12 / 4

d. Simplify: y = 3


Equation: 3a + 5 = 14

Steps to Solve:

a. Subtract 5 from both sides to isolate the term with a: 3a + 5 - 5 = 14 - 5

b. Simplify: 3a = 9

c. Divide both sides by 3 to solve for a: 3a / 3 = 9 / 3

d. Simplify: a = 3


Equation: 6b - 2 = 10

Steps to Solve:

a. Add 2 to both sides to isolate the term with b: 6b - 2 + 2 = 10 + 2

b. Simplify: 6b = 12

c. Divide both sides by 6 to solve for b: 6b / 6 = 12 / 6

d. Simplify: b = 2


Equation: 5c + 8 = 23

Steps to Solve:

a. Subtract 8 from both sides to isolate the term with c: 5c + 8 - 8 = 23 - 8

b. Simplify: 5c = 15

c. Divide both sides by 5 to solve for c: 5c / 5 = 15 / 5

d. Simplify: c = 3


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Simple linear equations

1. \(2x + 3 = 7\)    - Solution: \(x = 2\) 2. \(5y - 8 = 12\)    - Solution: \(y = 4\) 3. \(3a + 6 = 15\)    - Solution: \(a = 3\) 4. \(4b -...