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Solving equations

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Solving equations

1. 1. Solving Equations
2. 2. A linear or First degree Equation <ul><li>Eg. 2y+1 = 13 </li></ul>
3. 3. 1.Solving linear equations by using inverse operations <ul><li>x – 7 = -3 </li></ul><ul><li>+ 7 = +7 (adding 7 on each side) </li></ul><ul><li>-------------- </li></ul><ul><li>X = 4 </li></ul>
4. 4. 3x = 21 <ul><li>3x / 3 = 21 /3 ( dividing each by 3) </li></ul><ul><li>X = 7 </li></ul>
5. 5. Solving Equations with parentheses Solve 3(b+2) +2b = 21
6. 6. 3(b+2) +2b = 21 <ul><li>3b+6 +2b = 21 </li></ul><ul><li>5b+6 = 21 </li></ul><ul><li>5b+6-6 = 21-6 </li></ul><ul><li>5b = 15 </li></ul><ul><li>5b/5 = 15/ 5 </li></ul><ul><li>Therefore b = 3 </li></ul>
7. 7. Solving equation contains fractions m/3 – m/4 = 2
8. 8. m/3 – m/4 = 2 <ul><li>12(m/3) – 12(m/4) = 12(2) [ L.C.M. of 3 &4 is 12) </li></ul><ul><li>4m – 3m = 24 </li></ul><ul><li>So, m= 24 </li></ul>
9. 9. Solving Equations by cross multiplying <ul><li>If x / 3 = (x + 4)/5 , what is the value of x? </li></ul>
10. 10. If x / 3 = (x + 4)/5 , what is the value of x? <ul><li>5(x) = 3(x+4) </li></ul><ul><li>5x = 3x +12 </li></ul><ul><li>2x = 12 </li></ul><ul><li>x = 12 / 2 </li></ul><ul><li>Therefore x= 6 </li></ul>
11. 11. Using A root of an equation to answer a question <ul><li>If 3y – 2 = 4 , what is the value of y – 2 ? </li></ul>
12. 12. If 3y – 2 = 4 , what is the value of y – 2 ? <ul><li>If 3y – 2 = 4 ,then 3y = 6 </li></ul><ul><li>Therefore y = 2 </li></ul><ul><li>The value of y-2 = 2 – 2 = 0 </li></ul>
13. 13. The END