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Add sides 9
Subtract sides 6z
Divide sides by 2
Thus ;
Done...
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Does anyone know how to solve this? Thanks!
1 answer:
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Answer:
- movie: $3.75
- video game: $5.75
Step-by-step explanation:
Two equations in two unknowns can be written:
3m +5v = 40
9m +7v = 74
These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to
- ax +by = c
- dx +ey = f
is given by ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
For the numbers above,
- ∆ = 5·9 -7·3 = 24
- m = (5·74 -7·40)/24 = 90/24 = 3.75
- v = (40·9 -74·3)/24 = 138/24 = 5.75
The rental cost for each movie is $3.75; for each video game, it is $5.75.
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The attached graph shows a graphing calculator solution to these equations.
Answer:
–2 < x < 3
Step-by-step explanation:
–8 < 2x – 4 < 2
Add 4 to all parts:
–8 + 4 < 2x – 4 + 4 < 2 + 4
Simplify:
–4 < 2x < 6
Divide all parts by 2:
(–4 ÷ 2) < (2x ÷ 2) < (6 ÷ 2)
Simplify:
–2 < x < 3
