Answer: -4x + 2y
Step-by-step explanation:
6x - 3y + 5y - 10 x
Group like terms:
= 6x - 10x - 3y + 5y
Add similar elements :
6x - 10 x = - 4x
- 3y + 5y = +2y
Therefore:
-4x + 2y
Hope that helps!
The simplified form of the equation [tex]6x-3y+5y-10x[/tex] is [tex]\boxed{2y-4x}[/tex].
Further explanation:
A binomial is an algebraic expression which consists of two terms having operations of addition and subtraction.
Procedure:
The following steps are involved to simplify the algebraic expression.
1) First we collect the like terms from the given algebraic expression.
2) Second we add or subtract the like terms in the algebraic expression.
Given:
The algebraic expression is [tex]6x-3y+5y-10x[/tex].
Calculation:
Step 1:
First we collect the like terms from the given algebraic expression.
The given algebraic expression consists two variables [tex]x[/tex] and [tex]y[/tex].
Clearly, we can see that the given algebraic expression is in the form of binomial.
So, collect the terms of [tex]x[/tex] aside and the [tex]y[/tex] term on other side as follows:
[tex]\boxed{(6x-10x)+(5y-3y)}[/tex]
Step 2:
Now, add the given algebraic expression to simplify it.
[tex]\boxed{(6x-10x)+(5y-3y)=-4x+2y}[/tex]
The above algebraic expression can be written as,
[tex]\boxed{2y-4x}[/tex]
The simplified form of the algebraic expression [tex]6x-3y+5y-10x[/tex] is [tex]\boxed{2y-4x}[/tex].
Thus, the simplified form of the algebraic expression [tex]6x-3y+5y-10x[/tex] is [tex]\boxed{2y-4x}[/tex].
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Answer details:
Grade: Junior school
Subject: Mathematics
Chapter: Simplification
Keywords: Addition, subtraction, operation, terms, like terms, unlike terms, variables, binomial, monomial, simplification, collecting the terms, coefficient, constant, value, algebraic expressions.
