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2 years ago

Which ordered pair is the solution to the system of linear equations y =5x +8 and y= -4 x-1

Mathematics

1 answer:

aleksley [76]2 years ago

8 0

Answer:

(-1,3)

y=5x+8 , y=-4x-1y=5x+8,y=−4x−1

Both sides have y on the left hand side so make the right hand side equal and solve for x

5x+8= -4x-15x+8=−4x−1

To solve for x , add 4x on both sides

9x+8=-19x+8=−1

Subtract 8 on both sides

9x=-99x=−9

Divide by 9 on both sides

x=-1x=−1

Now plug in -1 for x in the first equation and find out y

y=5x+8y=5x+8

y=5(-1)+8y=5(−1)+8

y=-5+8y=−5+8

y=3y=3

Ordered pair is (x,y) that is (-1,3)

Step-by-step explanation:

Mark me as brainliest plsss

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A company that offers tubing trips down a river rents tubes for a person to use for $20 and “cooler” tubes to carry food and wat

aivan3 [116]

The group rent 11 river rent tubes and 4 cooler tubes.

Step-by-step explanation:

Rent for river rent tube = $20

Rent for cooler tubes = $12.50

Total spent = $270

Total tubes rented = 15

Let,

x be the number of river rent tube.

y be the number of cooler tubes.

According to given statement;

x+y=15 Eqn 1

20x+12.50y=270 Eqn 2

Multiplying Eqn 1 by 20

$20(x+y=15)\\20x+20y=300\ \ \ Eqn\ 3$

Subtracting Eqn 2 from Eqn 3

$(20x+20y)-(20x+12.50y)=300-270\\20x+20y-20x-12.50y=30\\7.50y=30$

Dividing both sides by 7.5

$\frac{7.5y}{7.5}=\frac{30}{7.5}\\y=4$

Putting y=4 in Eqn 1

$x+4=15\\x=15-4\\x=11$

The group rent 11 river rent tubes and 4 cooler tubes.

Keywords: linear equations, subtraction

Learn more about linear equations at:

#LearnwithBrainly

6 0

3 years ago

The function h is defined by h (x) = 5x - 2.

Shtirlitz [24]

Answer:

x=2

Step-by-step explanation:

h(8)=5x-2

+2 +2

10=5x

Divide both sides by 5

x=2

5 0

3 years ago

Read 2 more answers

Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0.85t. Local taxes are a

kolezko [41]

What its saying is that u have a discount price and that goes up by 8% so we know its not greater than 1

8 0

3 years ago

You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up, the ratio of hea

Gwar [14]

So 16=heads
18=tails
after you add some tails
18+x

ratio of heads to tails is 1:1.5
heads=16, didn't change
tails=18+x

so
1:1.5=16:18+x
fractionify
1/1.5=16/(18+x)
1/1.5=2/3
2/3=16/(18+x)
mutiply both sides by (3)(18+x)
2(18+x)=3(16)
36+2x=48
subtract 36 from both sides
2x=12
divide 2
x=6

6 tails added

total=heads+tails
heads=16
tails=18+6=24
total=16+24
total=40

6 tails added
40 total coins

6 0

3 years ago

5/8+1/12 in the lowest terms

VladimirAG [237]

Answer:

17/24 i believe

Step-by-step explanation:

because 8 and 12 both have 24 as the lowest common multiple and 8x3 gets 24 and 12 times 2 gets 24

so the equation would be

15/24+2/24=17/24 which cant be simplified

3 0

3 years ago