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3. if \\(a = 6\\), \\(b = 3\\) and \\(c = 20\\) find the value of \\(x\…

Question

  1. if \\(a = 6\\), \\(b = 3\\) and \\(c = 20\\) find the value of \\(x\\)

a) \\(x = 4 + a - b\\)

b) \\(x = 3b - 7\\)

c) \\(x = 6 + \frac{c}{4}\\)

d) \\(a = 15 - x\\)

e) \\(c = x - 37 + 5b\\)

f) \\(b = 39 - 4x\\)

Explanation:

Solve part a

Using the Algebraic Substitution and Linear Equations knowledge points

$$ LATEXBLOCK0 $$

Solve part b

Using the Algebraic Substitution and Linear Equations knowledge points

$$ LATEXBLOCK1 $$

Solve part c

Using the Algebraic Substitution and Linear Equations knowledge points

$$ LATEXBLOCK2 $$

Solve part d

Using the Algebraic Substitution and Linear Equations knowledge points

$$ LATEXBLOCK3 $$

Solve part e

Using the Algebraic Substitution and Linear Equations knowledge points

$$ LATEXBLOCK4 $$

Solve part f

Using the Algebraic Substitution and Linear Equations knowledge points

$$ LATEXBLOCK5 $$

Answer:

PartEquationValue of \(x\)
b)\(x = 3b - 7\)\(x = 2\)
c)\(x = 6 + \frac{c}{4}\)\(x = 11\)
d)\(a = 15 - x\)\(x = 9\)
e)\(c = x - 37 + 5b\)\(x = 42\)
f)\(b = 39 - 4x\)\(x = 9\)