The value of the equation [tex]8t + 3r - 7t - 9r[/tex] is [tex]\boxed{t - 6r}.[/tex]
Further explanation:
Distributive property can be expressed as,
[tex]\boxed{a \times b=\left( {a \times c} \right)+\left( {a \times d} \right)}[/tex]
The value of [tex]b = c + d[/tex]
The associative property is defined as a grouping of multiplication, addition, subtraction and division.
Always use the PEDMAS rule to solve the grouping of multiplication, addition, subtraction and division.
Here, P is parenthesis, E is exponents, M is multiplication, D is division, A is addition and S is subtraction.
Given:
The equation is [tex]8t + 3r - 7t - 9r.[/tex]
Explanation:
Consider the equation [tex]S = 8t + 3r - 7t - 9r.[/tex]
In the equation we have two operations one is addition and another is subtraction.
Simplify the above equation to obtain the value of the equation.
[tex]\begin{aligned}S&= 8t + 3r - 7t - 9r\\&= \left( {8t - 7t} \right)+ \left( {3r - 9r} \right)\\&= t + \left( { - 6r} \right)\\&= t - 6r\\\end{aligned}[/tex]
Hence, the value of the equation [tex]8t + 3r - 7t - 9r[/tex] is [tex]\boxed{t - 6r}.[/tex]
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Answer details:
Grade: Middle School
Subject: Mathematics
Chapter: Number System
Keywords: property, simplify, 8t+3r-7t-9r, sum, addition, identity, shows, subtraction, number sentence, division, multiplication, variables, parenthesis, exponents.
