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Ipatiy [6.2K]
3 years ago
13

Solve the system of linear equations y=-x y=3x-4

Mathematics
2 answers:
andreev551 [17]3 years ago
7 0
For this equation you will have to substitute the y for (-x)
Therefore,
-x=3x-4
-x-3x=-4
-4x=-4
-4x/-4=-4/-4
X= 1
Viefleur [7K]3 years ago
5 0

<u>Answer:</u>

On solving the system of linear equations y=-x  and y=3x-4 we get the values of x and y as -1 and 1 respectively.

<u>Solution:</u>

We are given two equations and asked to solve the system of linear equations.

The two given equation are

y = -x    --eq1

y = 3x-4   --eq2

Now we rearrange the eq1 so that we can substitute the value of x in eq2 and solve it.

Now rearranging the eq1 we have;

x=-y--eq3

now substituting eq3 in eq2 we get;

y=3(-y)-4

we now simplify the equation and solve for y

y=-3y-4

y+3y=-4

4y=-4

y = -1

Now we substitute the value of y in eq3 to get the value of x

x=-(-1)

x = 1

Therefore on solving the system of linear equations we get the values of x and y as -1 and 1 respectively.

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3x+3y=6 and 5x-6y=15
Anna71 [15]
Multiply first equaton by 2 and add to the other equation

6x+6y=12
<u>5x-6y=15 +</u>
11x+0y=27

11x=27
divide both sides by 11
x=27/11


sub back
3x+3y=6
divide both sides by 3
x+y=2
(27/11)+y=2
2 and 5/11+y=2
minus  2 and 5/11 both sides
y=-5/11

x=27/11
y=-5/11
(27/11,-5/11)
7 0
3 years ago
What value of B makes the expression, x^2 + bx + 64 a perfect square trinomial?
Kitty [74]
B = 16
x^2 + 16x + 64 can be factored down to (x + 8)^2. 
7 0
3 years ago
Ms.Lieber takes 4 hours to drive 210 miles from her home to Yosemite national park. If ms.Lieber's avarege sleed for the first t
zlopas [31]

Answer:

45 miles per hour.

Step-by-step explanation:

We have been given that Ms. Lieber takes 4 hours to drive 210 miles from her home to Yosemite national park. Ms. Lieber's average speed for the first two hours is 60 miles per hour.

Let us find distance traveled by Ms. Lieber in 2 hours.

\text{Distance}=\text{Speed*Time}

\text{Distance traveled by Ms. Lieber in 2 hours}=60\frac{\text{miles}}{\text{ hour}}\times 2\text{ hours}

\text{Distance traveled by Ms. Lieber in 2 hours}=60\times 2\text{ miles}

\text{Distance traveled by Ms. Lieber in 2 hours}=120\text{ miles}

\text{Remaining distance}=(210-120)\text{ miles}

\text{Remaining distance}=90\text{ miles}

\text{Speed}=\frac{\text{Distance}}{\text{Time}}

\text{Ms. Lieber's average speed for last 2 hours}=\frac{90\text{ miles}}{2\text{hour}}

\text{Ms. Lieber's average speed for last 2 hours}=45\frac{\text{ miles}}{\text{hour}}

Therefore, Ms. Lieber's average speed for the last 2 hours was 45 miles per hour.

5 0
3 years ago
PLEEASE HELP ASAP!
svetoff [14.1K]
It would be 2/3 because the rise is 2 and the run is the 3
4 0
3 years ago
Lou is 6 eighths of a pizza what fraction of the pizza in simplest form is left over
Studentka2010 [4]
6/8 would be the fraction. 

Hope this helped!

:)

The question was a little confusing so if i gave you the wrong answer just rephrase your question and i will help!
7 0
3 years ago
Read 2 more answers
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