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Elena-2011 [213]
3 years ago
14

What is the solution to this system of equations using the linear combination method?

Mathematics
2 answers:
aniked [119]3 years ago
7 0

Answer:

\huge \boxed{x=-3 \ \mathrm{and} \ y=17}

\rule[225]{225}{2}

Step-by-step explanation:

Subtracting both equations:

    5x + y = 2

 -  (4x + y = 5)

————————

1x + 0y = -3

x = -3

Substituting x = -3 for the second equation:

4(-3) + y = 5

Solving for y.

-12 + y = 5

y = 17

\rule[225]{225}{2}

Gnom [1K]3 years ago
4 0
X= -3 y= 17 is the answer
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Anja stands by the side of the road counting the wheels on the vehicles that go past her if she counts 250 wheels tie many cars
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Answer:

50 cars and 25 bikes

Step-by-step explanation:

Given

Total wheels = 250

Required:

Number of cars and bikes

Let C represent Cars and B represents Bike

A car has 4 wheels and a bike has 2 wheels;

So,

4C + 2B = 250

Divide through by 2

\frac{4C + 2B}{2} = \frac{250}{2}

2C + B = 125 ---- Equation 1

The ratio of wheels of cars to wheels of bike is 1:2

Meaning that

1C = 2B

So, C = 2B

Substitute 2B for C in equation 1

2(2B) + B = 125

4B + B = 125

5B = 125

Divide both sides by 5

\frac{5B}{5} = \frac{125}{5}

B = \frac{125}{5}

B = 25

Recall that C = 2B

So,

C = 2 * 25

C = 50

Hence, Anna has seen 50 cars and 25 bikes

6 0
3 years ago
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Jake went to the park. He spent 30 minutes walking on a trail. The rest of the time he spent relaxing in the park field. He spen
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Hey there,

So. . I hope I'm understanding the question correctly. So . .There's 2 drivers in the car and they basically take turns driving. So when you do 70 by 15 hours, you get about 1,050 and yes, for sure you have past the limit of 600 miles a day. So, this means that they already passes what they had said in the beginning.

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