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Novosadov [1.4K]
2 years ago
12

Which statements are true about the ordered pair (-1,-4) and the system of equations? x-y=3 and 7x-y=-3

Mathematics
1 answer:
alexandr402 [8]2 years ago
8 0

Answer:

when (-1, -4) is substituted into the first equation it's true

when (-1, -4) is substituted into the second equation it's true

the ordered pair (-1, -4) is a solution to the systems of equation

Step-by-step explanation:

original equation

x-y=3

multiply both sides by 7

7x-7y = 21

add 7y to both sides

7x=7y + 21

substitute into second equation

(7y+21)-y=-3

simplify

6y+21=-3

subtract 21 from both sides

6y=-24

y=-4

substitute y into original equation

x-(-4) = 3

cancel out negative signs

x+4=3

subtract -4 from both sides

x=-1

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Answer:

Step-by-step explanation:

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below is my answer... don't look until you have solved yours :P

80+70= 150kph

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8 0
3 years ago
Which is a correct first step in solving 5 – 2x < 8x – 3?
exis [7]

5 < 6x - 3
3 0
3 years ago
Read 2 more answers
The width and length of a rectangle (in feet)are consecutive odd integers. If the length is increased by 5 feet, the area of the
Tresset [83]
Original:
<span>The width and length of a rectangle are consecutive odd integers
</span>so W = x and L = x + 2

<span>If the length is increased by 5 feet, then new L = x + 2 + 5 = x + 7
</span>
A = L x W
60 = (x + 7) x
60 = x^2 + 7x
x^2 + 7x - 60 = 0
(x - 5)(x + 12) = 0
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From here you have x = W = 5 ft and L = x + 2 = 5 + 2 = 7 feet

Area of original = 5 x 7 = 35

answer 
<span>the area of the original rectangle: </span>35 ft^2


4 0
3 years ago
Heyy can you help me out on this question please
defon
We can use quadratic formula to determine the roots of the given quadratic equation.

The quadratic formula is:

x= \frac{-b+- \sqrt{ b^{2}-4ac } }{2a}

b = coefficient of x term = 5
a = coefficient of squared term = 1
c = constant term = 7

Using the values, we get:

x= \frac{-5+- \sqrt{25-4(1)(7)} }{2(1)} \\  \\ &#10;x= \frac{-5+- \sqrt{-3} }{2}

So, the correct answer to this question are option E and F
8 0
3 years ago
What is the value of the expression 4x+y2y−x when x = 2 and y = 4?
My name is Ann [436]
The answer should be the first one, 2. Do you need and explanation?
4x+y/2y-x

Start by replacing all of the variables. 
4(2)+4/2(4)-2

Now work multiply. 
8+4/8-2

Now add. 
12/6

That is your fraction. But you must simplify it. 

Its simplifies to 2. 
6 0
3 years ago
Read 2 more answers
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