Solve the simultaneous equations: 5x + 2y = 17 4x + y = 10

Mathematics

1 answer:

erik [133]3 years ago

8 0

Answer:

(1, 6 )

Step-by-step explanation:

5x + 2y = 17 → (1)

4x + y = 10 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the y- term

- 8x - 2y = - 20 → (3)

Add (1) and (3) term by term to eliminate y

- 3x + 0 = - 3

- 3x = - 3 ( divide both sides by - 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for x

Substituting into (1)

5(1) + 2y = 17

5 + 2y = 17 ( subtract 5 from both sides )

2y = 12 ( divide both sides by 2 )

y = 6

solution is (1, 6 )

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Factor completely. a2 + 28 a + 27

solong [7]

I'm guessing you mean a^2? if so then,
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6 0

3 years ago

I need help with this question.

vazorg [7]

Hello!

The area of a triangle is always 180°

And we know that angle "A" is 90°

So we can do 180 - 90 = 90

Which means that.

(2x+14) + (4x-26) = 90

You combine like terms

6x - 12 = 90

add 12 to each side.

6x = 102

divide by 6 on both sides

x = 17

So the answer is 17°

Hope this helps!

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3 years ago

BD and AC are chords that intersect at point Y.

Sindrei [870]

Answer:

4 units

Step-by-step explanation:

The complete question is

BD and AC are chords that intersect at point Y. A circle is shown. Chords B D and A C intersect at point Y. The length of B Y is 3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY?

The picture of the question in the attached figure

we know that

The Intersecting Chord Theorem states that: When two chords intersect each other inside a circle,the products of their segments are equal.

In this problem

$(BY)(YD)=(AY)(YC)$