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Tpy6a [65]
3 years ago
13

Solve 4x+y=8 x+y=5 Solving by elimination

Mathematics
2 answers:
Arada [10]3 years ago
6 0

Step-by-step explanation:

4x+y=8

x+y=5

5(4x+y)=8

8(x+y)=5

20x+5y=40

8x+8y=40

2x_3y=0

2×_3y

Ulleksa [173]3 years ago
3 0

Answer:

y=4,x=1

Step-by-step explanation:

4x+y=8

x+y=5

subtract equation 2 from equation 1

3x + 0=3

3x=3

divide both sides by 3

x=1

substitute for x=1 in equation 2

x+y=5

1+y=5

y=5-1(collecting like terms)

y=4

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It takes Priti 4 hours to drive from Ashdown to Bridgeton at an average speed of 50 mph. She then drives 30 miles from Bridgeton
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Answer:

Her average speed from Ashdown to Carton is approximately 48.4 mph

Step-by-step explanation:

The time and speed of the motion of Priti are as follows;

The time it takes Priti to drive from Ashdown to Bridgeton, t₁ = 4 hours

The average speed she drove from Ashdown to Bridgeton = 50 mph

The distance she drove from Bridgeton to Carton, d₂ = 30 miles

Her average speed from Bridgeton to Carton = 40 mph

The distance from Ashdown to Bridgeton, d₁ = 50 mph × 4 hours = 200 miles

The time it takes Priti to drive from Bridgeton to Carton, t₂ = 30 miles/(40 mph) = 0.75 hour

Average velocity, v_{ave} = (Total distance traveled, Δd)/(Total time, Δt)

Δd = d₁ + d₂, Δt = t₁ + t₂

Δd = 200 miles + 30 miles = 230 miles

Δt = 4 hours + 0.75 hour = 4.75 hours

∴ The average velocity, v_{ave} = (230 miles)/(4.75 hours)

∴ v_{ave} = (920/19) mph

Her average speed from Ashdown to Carton, rouded to 1 d,p, v_{ave} ≈ 48.4 mph

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