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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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The approximate distance between J and K is units. The approximate distance between K and L is units. The approximate distance b
Dima020 [189]
Count the distance d, which gives you 7.

Use Pythogarean theorem to find c:
{a}^{2}  +  {b}^{2}   =   {c}^{2}
Plug in the numbers:
{4}^{2}  +  {3}^{2}  =  {c}^{2}   \\  \\ = 16 + 9  \\  \\ = 25 \\  \\ c =  \sqrt{25}  = 5
c is 5.

Same thing with g:
{e}^{2}  +  {f}^{2}  =  {g}^{2}  \\  \\    {g}^{2} = {4}^{2}  +  {4}^{2}  \\  \\  = 16 + 16 \\  \\  = 32 \\  \\ g =  \sqrt{32} = 4 \sqrt{2}  = 5.66
g equals 5.66.

7 0
3 years ago
12. What is the value of x?
Vanyuwa [196]

Answer:

x=3.75\ units

Step-by-step explanation:

we know that

(AE)(EB)=(CE)(ED) ----> by Intersecting Chords Theorem

substitute the given values

(6)(5)=8x

solve for x

x=\frac{30}{8}

x=3.75\ units

5 0
2 years ago
Read 2 more answers
determine the equation of the straight line which passes through the point 1 and 5 and is perpendicular to the line 3x + y is eq
xenn [34]

The straight line is perpendicular to y = -3x + 4.

Therefore, the gradient of the straight line must be 3.

The equation of the straight line is y = 3x + 2.

7 0
2 years ago
PLEASE HELP!!! WILL MAKE YOU BRAINLIEST!!!!! PLEASE HURRY
kobusy [5.1K]

Answer:

they would have 1 scoop per cone and 80 kds

Step-by-step ex planation:

they would get one fav

4 0
2 years ago
5 years ago, the age of a man was 7 times the age of his son. After five years, the age of the man will be 3 times the age of hi
Feliz [49]

Answer:

10 years

40 years

Step-by-step explanation:

let present ag e of son=x

5 years ago age of son=x-5

5 years ago age of man=7(x-5)=7x-35

present age of man=7x-35+5=7x-30

after 5 years

age of son=x+5

age of man=7x-30+5=7x-25

also 7x-25=3(x+5)

7x-25=3x+15

7x-3x=15+25

4x=40

x=10

age of son=10 years

age of man=7*10-30=70-30=40 years

3 0
3 years ago
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