All categories

3 years ago

Fkr what value k does the system of equations x +2y =3 and 5x+ky+7=0 have no solution

Mathematics

1 answer:

swat323 years ago

6 0

Step-by-step explanation:

Given system of linear equations are:

$x + 2y = 3\\\therefore\: x + 2y - 3 = 0......... (1)\\\& \:5x + ky + 7 = 0........ (2)\\$

Equating equations (1) & (2) by

$a_1x+b_1y + c_1=0\: \&\:\\ a_2x+b_2y + c_2=0$

We find:

$a_1=1, \:\:b_1=2, \:\: c_1=-3\: \\\&\:\\ a_2=5, \:\:b_2=k, \:\: c_2=7\\$

The condition for system of linear equations having no solution is given as:

$\frac{a_1}{a_2} =\frac{b_1}{b_2} \neq\frac{c_1}{c_2} \\\\\therefore \frac{1}{5} =\frac{2}{k} \neq\frac{-3}{7} \\\\\therefore \frac{1}{5} =\frac{2}{k} \\\\\therefore k = 5\times 2\\\\\huge \purple {\boxed {\therefore k = 10}}$

Thus, for k = 10 given system of linear equations have no solution.

You might be interested in

The square number that is between 35 and 45

valentinak56 [21]

Answer:

Step-by-step explanation:

The square number that is between 35 and 45 is 36

5 0

2 years ago

Which transformation(s) were used to go from the parent graph (red) to the transformed graph (blue)? Check all that apply!

UNO [17]

<h3>2 Answers: </h3><h3>Choice B) Shift down</h3><h3>Choice C) Shift right</h3>

===================================================

Explanation:

Start with the point (-2,-4). Let's try to move it to (2, -9)

To do so, we need to shift down and to the right (in either order).

Specifically we shift 4 units to the right to go from x=-2 to x=4

Note how x=-2 moves to x+4 = -2+4 = 2

Also, we shift 5 units down. We have y = -4 turn into y = -9 as shown below

y ---> y-5 = -4-5 = -9

So the translation rule is $(x,y) \to (x+4,y-5)$

Let's see what happens when we apply the translation rule to (2,4)

$(x,y) \to (x+4, y-5)\\\\(2,4) \to (2+4, 4-5)\\\\(2,4) \to (6, -1)\\\\$

which is the other endpoint of the blue segment. This shows that the translation rule works for (2,4) to move to (6,-1)

We do not apply any dilations. The red and blue segments are the same length because translations preserve distance. All we're effectively doing is moving the red segment to land on the blue segment. This means no vertical or horizontal stretches are done. The same can be said about compressions as well.

3 0

3 years ago

10°5 / 10*3*<br> I need help answering this question

Snowcat [4.5K]

Answer:

$\frac{5}{3}$

Step-by-step explanation:

<em>Cancel the </em><em>common factor</em><em> of 10 </em>

<em>to get the </em><em>exact form</em><em> of 5/3</em>

<u>Hope this helps</u>

5 0

2 years ago

Read 2 more answers

Explain the tangent line problem

ale4655 [162]

The Tangent Line Problem 1/3How do you find the slope of the tangent line to a function at a point Q when you only have that one point? This Demonstration shows that a secant line can be used to approximate the tangent line. The secant line PQ connects the point of tangency to another point P on the graph of the function. As the distance between the two points decreases, the secant line becomes closer to the tangent line.

8 0

2 years ago

2) This is a line segment between the center and a point on the circle or sphere.

Dima020 [189]

Answer:

Radius

Step-by-step explanation:

A circle is made of specific components which define its shape. It has a fixed center which is equidistant apart from all points at its edge. The distance from the center to each point is called its radius. The distance from its edge through its center to the opposite edge is called the diameter.

3 0

2 years ago

Fkr what value k does the system of equations x +2y =3 and 5x+ky+7=0 have no solution ​

Fkr what value k does the system of equations x +2y =3 and 5x+ky+7=0 have no solution