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Ede4ka [16]
3 years ago
9

How many solutions does a independent system of equations have?

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

one solution

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.

Step-by-step explanation:

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What is the solution to 39/45 - 2/3
julia-pushkina [17]

Answer:

0.2

Step-by-step explanation:

just subtract

4 0
2 years ago
What is an equation of the line that passes through the point (-7,-6)(−7,−6) and is parallel to the line x-y=7x−y=7?
kotykmax [81]

Answer:

y = x + 1

Step-by-step explanation:

The gradient of a line can be defined by the equation:

m (gradient) = (y1 – y2 ) ÷ (x1 – x2) ----> "1" and "2" should be in subscript

For (-7,-6) we use x2 and y2 (because this point can be anywhere along a line):

x2 = -7, y2 = -6

Plug these values into the formula above:

m = (y-(-6)) ÷ (x-(-7))

m = (y+6) ÷ (x+7)

At this stage, the equation can't be solved as there are two unknowns. Therefore, the gradient must be found another way. Two lines are parallel if they have the same gradient - in their y=mx+c equations, m will be equal.

x - y=7 is the line alluded to in the question. Rearranging this equation into the line equation format gives:

y = x-7 ---> The gradient (coefficient of x) is 1.

Therefore, the gradient of the other parallel line must also be 1.

This can be substituted into the previous equation to give:

1 = (y+6)÷(x+7)

x+7 = y+6

x+1 = y

Therefore, the answer is y=x+1

5 0
2 years ago
Determine the slope of the line 5x + 3y + 12 = 0 .
vazorg [7]
Put ur equation in y = mx + b form because the slope will be in the m position.

5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4

y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===
6 0
2 years ago
Solve by taking the square root of both sides. 3(x+4)^2-24=0
VARVARA [1.3K]
<span>3(x+4)^2-24=0
</span>
<span>3(x+4)^2 = 24
</span>
<span>(x+4)^2 =  24/3
</span>
<span>(x+4)^2 = 8
</span><span>
</span><span>(x+4)² = (2√2)² ⇒ x+4 = 2√2 ⇒ x = 2√2 - 4
</span>


6 0
3 years ago
Read 2 more answers
What is the radius of a circle with an area of 78.5 cubic inches? use 3.14 for pie
svetlana [45]

Answer:

radius = 5 in

Step-by-step explanation:

Using the formula for calculating the area (A) of a circle

A = πr² ( r is the radius )

here A = 78.5, hence

3.14r² = 78.5 ( divide both sides by 3.14 )

r² = \frac{78.5}{3.14} = 25 ( take the square root of both sides )

r = \sqrt{25} = 5


6 0
3 years ago
Read 2 more answers
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