if A-B=2C,A+B=4C and C=3i+4j, then what are A and B?
please guyz i need your help, i don't know where to start this question.
Let me try and solve this then help you okay?
Well honestly I can't figure it out. Sorry. There's just too many possible answers here.
jika a-b=2c, a+b=4c dan c=3i+4j, maka a dan b adalah
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To find the values of A and B, we'll use the given equations and substitute the value of C, which is 3i + 4j.
Given equations:
A - B = 2C -- Equation 1
A + B = 4C -- Equation 2
C = 3i + 4j -- Equation 3
Substituting the value of C (3i + 4j) in Equation 1:
A - B = 2(3i + 4j)
A - B = 6i + 8j -- Equation 4
Substituting the value of C (3i + 4j) in Equation 2:
A + B = 4(3i + 4j)
A + B = 12i + 16j -- Equation 5
Now we have a system of two equations (Equation 4 and Equation 5) with two variables (A and B). We can solve these equations using any suitable method, such as substitution or elimination.
Let's solve it using the elimination method.
Adding Equation 4 and Equation 5:
(A - B) + (A + B) = (6i + 8j) + (12i + 16j)
2A = 18i + 24j
A = (18i + 24j) / 2
A = 9i + 12j -- Equation 6
Subtracting Equation 4 from Equation 5:
(A + B) - (A - B) = (12i + 16j) - (6i + 8j)
2B = 6i + 8j
B = (6i + 8j) / 2
B = 3i + 4j -- Equation 7
Therefore, A = 9i + 12j and B = 3i + 4j.