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Travka [436]
3 years ago
11

What is the value of y in this system of equations: 3x + y = 9 y = –4x + 10 ?

Mathematics
1 answer:
Ahat [919]3 years ago
6 0
<span>3x + y = 9 (I)
</span><span>y = –4x + 10 (II)
------------------------
</span>\left \{ {{3x + y = 9 } \atop {y = -4x + 10 }} \right.

Pass the incognito "4x" to the first term, changing the signal when changing sides.
<span>-------------------------
simplify by (-1)
</span>\left \{ {{3x + y = 9.(-1)} \atop {4x + y = 10 }} \right.<span>

-------------------------
</span>\left \{ {{- 3x - \diagup\!\!\!\!y =-9} \atop {4x + \diagup\!\!\!\!y = 10}} \right.     &#10;
<span>
-------------------------
</span>\left \{ {{- 3x = - 9} \atop {4x = 10}} \right.<span>

-----------
</span>\boxed{x = 1}<span><span>

</span></span><span>Substitute in equation (I) to find the value of "Y".

</span>3x + y = 9 (I)
3*(1) + y = 9
3 + y = 9
y = 9 - 3
\boxed{y = 6}

Answer:
\boxed{\boxed{ \left \ {{x=1} \atop {y=6}} \right. }}

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andriy [413]

Answer:

142.932

Step-by-step explanation:

given that in triangle ABC, AC =24

Angle A = 30 and Angle B =45

If we draw altitude from C, we get

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Since BC = h (45, 45,90 triangle)

BC=12

By sine formula for triangle

\frac{12}{sin30} =\frac{AB}{sin(180-45-30)} \\AB = 24 sin 105 = 23.1822

Area of triangle

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3 years ago
On Monday, you were able to spell two of your spelling words correctly. On Tuesday, you were able to spell four of your spelling
Advocard [28]

Answer: 2^5

Step-by-step explanation:

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So for Friday you can spell 32 words which is 2^5

7 0
3 years ago
Read 2 more answers
What are the coordinates of the vertices of the figure A'B'C'after the following transformation. (x,y) ---&gt; ( y, -x)​
topjm [15]

9514 1404 393

Answer:

  • A'(4, 4)
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  • C'(1, 2)

Step-by-step explanation:

Using the transformation ...

  (x,y) ⇒ (y, -x) . . . . . . rotation 90° CW

we have ...

  A(-4, 4) ⇒ A'(4, 4)

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3 years ago
Complete the solution of the equation. Find the<br> value of y when x equals -14.<br> -2x + 5y = 8
shepuryov [24]

Answer:

y = -4

Step-by-step explanation:

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-2(-14) +5y = 8

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Divide by 5

5y/5 = -20/5

y = -4

4 0
3 years ago
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