solution: x+5= -x-5
x= -5
1. Subtract 5 from both sides
2. Simplify
3. Add x from both sides
4. Simplify
5. Divide both sides by two
Answer:
x=5 and y=16
Step-by-step explanation:
x = number of pants
y = number of shirts
Set up equations:
- 25x + 14.5y = 357
- x + y = 21
Set the equations up as a system:
25x+14.5y=357
x+y=21
Steps:
Solve the system by substitution.
(You can also solve this system by elimination.)
<em>25x + 14.5y= 357</em>
<em>x + y = 21</em>
Step 1: Solve x+y=21 for x:
(x + y) − y = (21) − y(Subtract y from both sides)
x = −y + 21
Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:
25x + 14.5y = 357
25(−y + 21) + 14.5y = 357
−10.5y + 525 = 357 (Simplify both sides of the equation)
(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)
−10.5y = −168
−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)
y = 16
Step 3: Substitute 16 for y in x = −y + 21:
x = −y + 21
x = −16 + 21
x = 5 (Simplify both sides of the equation)
Answer:
x=5 and y=16
Answer:
7x+6x
Step-by-step explanation:
Distributive property. 7 times x = 7x. 6 times x = 6x
