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8090 [49]
3 years ago
5

Solve using the substitution method 4x-2y=8 y=1/2x +2

Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0

Hello there! the answer would be x = 3/4.

You are given the two equations: 4x - 2y = 8 and y = 1/2x + 2. You are asked to solve via substitution. To do this, substitute the value of y in the second given equation into the first given equation, and solve using PEMDAS.

4x - 2(1/2x + 2) = 8 - Start by distributing 2 into (1/2x + 2).

4x - 1x + 4 = 8 - Combine like terms.

3x + 4 = 8 - Subtract 4 from both sides.

3x = 4 - divide both sides by 3.

x = 3/4. This is your final answer.

I hope this was helpful, have a great day! :)

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<em>u</em> = 7.21

Step-by-step explanation:

The magnitude of <em>u</em> is just the distance between the two points. The coordinates of the left-most point are (-2,-8) and the coordinates of the right point are (4, -4). I'm assuming the x coordinates here because we don't actually know the scale.

Ok so from these points, you can draw a triangle (u can see it in the attached file).

From the coordinates we can tell the lengths of the sides, and the triangle shows that <em>u</em> is the hypotenuse of the triangle. This triangle is also a right triangle, so u can use Pythagoras' theorem to find the length of <em>u</em>.

a^{2}+b^{2} = c^{2} \\6^{2}+4^{2}  = c^{2} \\\sqrt{6^{2} +4^{2} } = c\\\sqrt{36+16} = c\\7.21 = c

Since c = <em>u</em>, we know now that the magnitude of <em>u</em> is 7.21

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