Solving Linear Equations

Xavier Richardson & Stephanie Gordon
Solving Linear Equations




Hello, my name is Xavier. Stephanie and I will be showing you how to solve a linear equation. A linear equation is an equation that creates a straight line when put on a graph. To solve a linear equation, take the smallest constant in the equation and use its opposite operation (ex: -3’s opposite operation would be +3) after you do that, bring down the remaining numbers so that you have a smaller equation. Next, find a greatest common factor, or GCF, between the remaining numbers. Divide the numbers by that GCF. You should now get the value for the exponent that you are looking for.

Here are some examples:

27 = 5x -3
+3 +3
30=5x

divide the 30 and the 5x by its GCF. That should give you:
x = 6


5 = 5x + 4
-4 -4
1 = 5x
/1 /1
x = 1

14 = 7x – 21
+21 +21
35 = 7x
/7 /7
x = 5
4. 3x + 9 = 81
-9 -9
3x = 72
/3 /3
x = 24
5. 16 = 8x – 4
+4 +4
24 = 8x
/8 / 8
3 = x
1. 50=5x+15

2. 48= 54 -3x

3. 46 + 9x= 100

4. 10x- 20= 80

5. 36= 6x -6

6. 25= 3x+ 1

7. 27= 4x +3

8. 49= 21x – 7

9. 34= 6x+4

10. 76= 9x – 5

In conclusion, the linear equation can be very difficult to solve. But if you keep on practicing. You will be the greatest at solving a linear equation.