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Helen [10]
3 years ago
7

X+y-6= 0x-y= 0What is the solution of the system?(3.3)(-3.3)(3,-3)​

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
8 0

Answer:

x = +3 , y = +3

Step-by-step explanation:

Just solve for x in eq1

to become: x=6-y

then substitute it in eq2

6-y-y=0

6-2y=0

2y=6

y=+3

And finally substitute the value of y in any eqs to find the value of x.

I hope that it's a clear explanation.

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Find the constant of variation for the relation and use it to write and solve the equation.
Ksenya-84 [330]

Answer:

When x = 1 and z = 4,   y=\frac{80}{9}

Step-by-step explanation:

The variation described in the problem can be written using a constant of proportionality "b" as:

y=b\,\,x\,\,z^2

The other piece of information is that when x = 5 and z = 1, then y gives 25/9. So we use this info to find the constant "b":

y=b\,\,x\,\,z^2\\\frac{25}{9} =b\,\,(5)\,\,(1)^2\\\frac{25}{9} =b\,\,(5)\\b=\frac{5}{9}

Knowing this constant, we can find the value of y when x=1 and z=4 as:

y=b\,\,x\,\,z^2\\y=\frac{5}{9} \,\,x\,\,z^2\\y=\frac{5}{9} \,\,(1)\,\,(4)^2\\y=\frac{5*16}{9}\\y=\frac{80}{9}

3 0
3 years ago
PLEASE HELPPPPPP!!!!!!!!
Eduardwww [97]

Answer:

\sf y=\dfrac{1}{3}x

Step-by-step explanation:

First find the slope:

\sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{4-5}{12-15}=\dfrac{1}{3}

Use the point-slope form of linear equation:  \sf y-y_1=m(x-x_1)
(where m is the slope and (x₁, y₁) is a point on the line)

with the found slope and one of the points:

\begin{aligned}\sf y-y_1 &=\sf m(x-x_1)\\\\\implies \sf y-4 &=\sf \dfrac{1}{3}(x-12)\\\\\sf y-4 &=\sf \dfrac{1}{3}x-4\\\\\sf y &= \sf \dfrac{1}{3}x\end{aligned}

5 0
2 years ago
Read 2 more answers
The members of the PTA are ordering pizza for a meeting. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they or
strojnjashka [21]

Answer:

6 cheese pizzas

Step-by-step explanation:

3 / 9 = 3

3x2=6

3 0
3 years ago
Is this a irrational or rational number?
Natali [406]

I think its irrational bc if you put it as the squareroot of 329, it results in neverending decimals.

18^2=324+5=329

7 0
3 years ago
Read 2 more answers
Triangle sum theorem <br> WILL MARK BRAINLIEST
sergiy2304 [10]

Answer:

So for a hint to help you...when you are looking at a triangle on a 180 degree line, each angle adds up to 180 degrees. So for example, on #9 on the top of the triangle, one of the angles is 49 degrees so you want to subtract that from 180 ( 180 - 49 = X ) ( X = angle 1 and 2 ) so angle 1 and 2 added together equals X. In this case, ( X = 131 degrees ) Every triangle equals 180 degrees too. So since this angle has 3 different angles on the line, you can do the rest of the problems and come back to these because you can subtract angle 4 and 73 to get angle 2.

(still on #9) Angle 3, as you can see only has one other number beside it (73) so it makes this one very easy. ( 180 - 73 = X ) ( X = 107 )  <u>Angle 3 = 107 degrees</u>

<u></u>

Angle 5. Subtract the 49 above angle 5 from 180 and the result will be angle 5. ( 180 - 49 = X ) ( X = Angle 5 ) <u>X/angle 5 = 131.</u>

Now you can get angle 4, which gives you angle 2 and 1. ( 180 - 131 = Angle 4 ) <u>(Angle 4 = 49)</u>

Angle 2. In the triangle, we have 73 degrees, and 49 degrees. So the equation for this one is, ( 180 - 73 - 49 = Angle 2 ) ( Angle 2 = 58 )

Angle 1. On this line, we have 49 degrees and 2=58 degrees. ( 180 - 58 - 49 = Angle 1 ) <u>( Angle 1 = 73 )</u>

<u></u>

Lastly, Angle 3. The side of this triangle will also equal 180, just like the top line. Angle 1 = 73 degrees so as you now know, subtract that from 180 and get angle 3. ( 180 - 73 = Angle 3 ) <u>(Angle 3 = 107 )</u>

<u></u>

1: 73  degrees

2: 58 degrees

3: 107 degrees

4: 49 degrees

5: 131 degrees

I know this is a lot to read, but I really hope I explained it to where you can understand it now.

8 0
3 years ago
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