Question

Simplify each expression.1. -n+9n+3-8-8n2. 3(-4x+5y)-3x(2+4)5. 5-4y+x+9y7. -2x+3y-5x-(-8y)

Linear equations and graphs
ANSWERED
asked 2021-01-31

Simplify each expression.
1) \(-n+9n+3-8-8n\)
2) \(3(-4x+5y)-3x(2+4)\)
3) \(5-4y+x+9y\)
4) \(-2x+3y-5x-(-8y)\)

Answers (1)

2021-02-01

1) \(- n + 9 n + 3 - 8 - 8 n\)

\(= ( - n + 9 n - 8 n ) + ( 3 - 8 )\)

\(= n ( -1 + 9 - 8 ) + ( 3 - 8 )\)

\(= n ( 8 - 8 ) + ( -5 )\)

\(= n x 0 + ( -5 ) = 0 + ( - 5 ) = - 5\)
2) \(3 ( - 4 x + 5 y ) - 3 x ( 2 + 4 )\)

\(= 3 ( -4 x + 5 y ) + ( -3 x ) ( 2 + 4 )\)

\(= 3 ( - 4 x + 5 y ) + ( - 3 x ) ( 6 )\)

\(= ( - 12 x ) + 15 y + ( -18 x )\)

\(= 15 y + ( - 12 x + - 18 x )\)

\(= 15 y + ( - 30 x ) = 15 y - 30 x = 15 ( y - 2 x )\)
3) \(5 - 4 y + x + 9 y\)

\(= ( 9 y - 4 y ) + x + 5\) 

\(= y ( 9 - 4 ) + x + 5\)

\(= 5 y + x + 5\)

\(= ( 5 y + 5 ) + x= 5 ( y + 1 ) + x\)
4) \(- 2 x + 3 y - 5 x - ( - 8 y )\)

\(= - 2 x + 3 y - 5 x + 8 y\)

\(= ( 3 y + 8 y ) + ( -2 x + - 5 x )\)

\(= y ( 3 + 8 ) + x ( -2 + - 5 )\)

\(= 11 y + ( - 7 x ) = 11 y - 7 x\)
Answer:

1) \(- 5\)

2) \(15 ( y - 2 x )\)

3) \(5 ( y + 1 ) + x\)

4) \(11 y - 7 x\)

0
 
Best answer

expert advice

Need a better answer?
...