Respuesta :
G = 4ca - 3ba.....factor out a on the right
G = a(4c - 3b)...now divide both sides by (4c - 3b)
G / (4c - 3b) = a <==
G = a(4c - 3b)...now divide both sides by (4c - 3b)
G / (4c - 3b) = a <==
The value of afrom the expression [tex]G = 4ca - 3ba[/tex] is [tex]\boxed{a = \frac{G}{{\left( {4c - 3b} \right)}}}.[/tex]
Further explanation:
PEDMAS rule is use to solve the grouping of multiplication, addition, subtraction and division.
P denotes the parenthesis, E denotes the exponents, M denotes the multiplication, D denotes the division, A denotes the addition and S denotes the subtraction.
Given:
The expression is [tex]G = 4ca - 3ba.[/tex]
Explanation:
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
The given expression is [tex]G = 4ca - 3ba.[/tex]
The factors of [tex]4ca[/tex] can be expressed as follows,
[tex]\begin{aligned}A&= 4ca\\&= 4 \times c \times a\\\end{aligned}[/tex]
The factors of [tex]3ba[/tex] can be expressed as follows,
[tex]\begin{aligned}B &= 3ba\\&= 3 \times b \times a\\\end{aligned}[/tex]
The common factor between [tex]4ca[/tex] and [tex]3ba[/tex] is [tex]a[/tex].
The value of a can be obtained as follows,
[tex]\begin{aligned}G&= a\left( {4c - 3b} \right)\\\frac{G}{{\left( {4c - 3b} \right)}} &= a\\\end{aligned}[/tex]
The value of [tex]a[/tex] from the expression [tex]G = 4ca - 3ba[/tex] is [tex]\boxed{a = \frac{G}{{\left( {4c - 3b} \right)}}}.[/tex]
Learn more
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: place value, base value, decimal expansion, whole number, natural number, division, multiplication, solve the equation, solution, linear equation.
