The answer to
3c-9d+7c+5d is 10c - 4d
One variable linear equation is an equation that has a variable and the exponent number is one.
Can be stated in the form:
[tex]\large {\boxed {\bold {ax = b}}[/tex]
or
ax + b = c,
where a, b, and c are constants, x is a variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large {\boxed {\bold {ax + bx = c}}}[/tex]
x, y = variable
There are several ways to solve an equation
Like terms are terms whose variables and their exponents are the same.
You can combine and add terms
The algebraic form of 3c-9d + 7c + 5d can be simplified:
(3c + 7c) + (-9d + 5d)
10c - 4d
an algebraic expression
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Keywords: algebraic expression, combine like terms
The simplest form of the expression [tex]3c - 9d + 7c + 5d[/tex] is [tex]\boxed{10c - 4d}.[/tex]
Further explanation:
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 expression is [tex]3c - 9d + 7c + 5d.[/tex]
Explanation:
The given expression is [tex]3c - 9d + 7c + 5d.[/tex]
Consider the expression [tex]3c - 9d + 7c + 5d[/tex] as [tex]A[/tex].
[tex]A = 3c - 9d + 7c + 5d[/tex]
Solve the above expression to obtain the simplest form.
[tex]\begin{aligned}A&= 3c - 9d + 7c + 5d\\&= \left( {3c + 7c} \right) + \left( { - 9d + 5d} \right)\\&= 10c - 4d\\\end{aligned}[/tex]
The simplest form of the expression [tex]3c - 9d + 7c + 5d[/tex] is [tex]\boxed{10c - 4d}.[/tex]
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Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: factor, factorization, 3c-9d+7c+5d, greatest common factor, groups, multiplication, product, identities, common factor, expression, terms, grouping.
