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2 years ago

What is the intersection of the lines y=4x+1 and y= -2x + 4

Mathematics

1 answer:

Alecsey [184]2 years ago

8 0

Answer:

The intersection is point is (1/2 , 3)

Step-by-step explanation:

y = 4x + 1

y = -2x + 4

Next, move the x's to the side of the y's and change the positive to negative and vice versa.

y - 4x = 1

y + 2x = 4

Then, multiply the top or bottom equation by -1

-y + 4x = -1

y + 2x = 4

y - 4x = 1

-y - 2x = -4

Then, subtract the y or add them to erase the y's

4x = -1

2x = 4

-4x = 1

-2x = -4

Next, add or subtract the x's and what they equal

6x = 3

-6x = -3

Then, find x

3/6x = 1/2

-3/-6x = 1/2

x = 1/2

Finally, substitute 1/2 into one of the 2 equation

y= 2+1

y = 3

y = -1 +4

y = 3

and get the point of (1/2 , 3)

Thanks for the Question

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Step-by-step explanation:

Given

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Aaron

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2 years ago

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The age of a boy is twice that of his sister. five years ago the boy was 3 times the age of his sister. How old is the boy

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Answer:

<h2>20 years old.</h2>

Solution,

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Let the age of boy be 2x

Now,

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Again,

Replacing value,

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hope this helps..

Good luck on your assignment..

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