Answer:
x = 1 and y = −2
Step-by-step explanation:
Rewrite equations:
x + 2y = −3
3x − 2y = 7
Step 1: Solve x+2y=−3 for x:
x + 2y = −3
x + 2y + −2y = −3 + −2y (Add -2y to both sides)
x = −2y − 3
Step 2: Substitute −2y − 3 for x in 3x − 2y = 7:
3x − 2y = 7
3(−2y − 3) − 2y = 7
−8y − 9 = 7 (Simplify both sides of the equation)
−8y − 9 + 9 = 7 + 9 (Add 9 to both sides)
−8y = 16
−8y/−8 = 16/−8 (Divide both sides by -8)
y = −2
Step 3: Substitute −2 for y in x = −2y − 3:
x = −2y − 3
x = (−2)(−2) − 3
x = 1 (Simplify both sides of the equation)
Answer:
height of the waste is 20.0 inches.
Step-by-step explanation:
given data
volume = 5, 667.7cubic inches
radius = 9.5 inches
solution
we use here volume of a cylinder is express as
V = πr²h .................1
put here value
5667.7 = (3.14) × (9.5²) × h
solve it we get
h = 20 inch
so height of the waste is 20.0 inches.
The cost of the family rug with dimensions 10-ft-by-11-ft given a proportional relationship is $159.50
<h3>How to solve using ratio?</h3>
Cost = $348.00
Area of rug = length × width
= 15 ft × 16 ft
= 240 square feet
Cost of a new rug = x
Area = length × width
= 10 ft × 11 ft
= 110 square feet
- Equate the ratio of cost to area of both rugs
348 : 240 = x : 110
348/240 = x/110
cross product
348 × 110 = 240 × x
38,280 = 240x
x = 38,280 / 240
x = $159.50
Learn more about ratio:
brainly.com/question/2328454
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Answer and explanation:
1. -6(x - 4) = 24 <-- the given is the equation that you start off with
2.(A) 
<-- it's the only number answer left. (B) Division Property of Equality <-- division is being involved
4. Addition Property of Equality <-- you're adding 4 to both sides
