How to solve an equation?
The following steps provide a good method to use when solving a system of equations:
- Simplify each side of the equation by removing parentheses and combining like terms.
- Use addition or subtraction to isolate the variable term on one side of the equation.
- Use multiplication or division to solve for the variable.
The values are: a = 2 , b = 2 , and c = 0.
-3a - b - 3c = -8 ....1
-5a + 3b +6c = -4 ....2
-6a- 4b + c = -20 ....3
To find the value of a, add equations 1 and 2 :
(-3a - b - 3c = -8) 3
+ -5a + 3b + 6c = -4
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-14a + 0 + 0 = -28
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⇒ a = -28 / -14 = 2
⇒ a = 2
To find the value of b, add equations 2 and 3 :
-5a + 3b + 6c = -4
+ ( -6a - 4b + c = -20) -6
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31a + 27b + 0 = 116
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put the value of a = 2
⇒ 31(2) + 27b = 116
⇒ 62 + 27b =116
⇒ 27b = 54
⇒ b = 2
Put the value of a and b in equation 1 to find c :
⇒ -3 (2) - (2) - 3c = -8
⇒ -6 - 2 - 3c = -8
⇒ -8 -3c = -8
⇒ -3 c = 0
⇒ c = 0
The equation is a statement of equality between two expressions consisting of variables and/or numbers.
Learn more about the equation here: brainly.com/question/1214333
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