Simplify the expression and find its value, when x = −1 and y = 2.
2x² − 3y + 3x² + 5x² + 5x – 7 – 7x + 2y
Answers
2(-1)²-3(2)+3(-1)²+5(-1)²+5(-1)-7-7(-1)+2(2)
2-6+3+5-5-7+7+4
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⇒ Given:
The expression 2x² − 3y + 3x² + 5x² + 5x – 7 – 7x + 2y with x = -1 and y = 2.
⇒ To Find:
The simplified form of the expression with the value of the variables substituted.
⇒ Solution:
Simplification process:
= 2x² − 3y + 3x² + 5x² + 5x – 7 – 7x + 2y
Moving the like terms together:
= 2x² + 3x² + 5x² + 5x – 7x − 3y + 2y – 7
Applying the mathematical operations:
= 10x² – 2x – y – 7
No further operations can be done.
Hence the simplified form is 10x² – 2x – y – 7.
Finding the value:
It is given that:
x = –1
y = 2
So,
= [10 x (–1)²] – [2 x–1] – 2 – 7
= [10 x –1] – [–2] – 2 – 7
= –10 + 2 – 2 – 7
= – 10 – 7 [positive and negative 2s get cancelled out]
= (–10) + (–7)
= –17
Therefore:
→ The simplified form the expression is 10x² – 2x – y – 7.
→ The value of the expression is –17.