Mathematics: Is this no solution or one solution or infinetly many solutions.

Is this no solution or one solution or infinetly, №8729546, 24.07.2021 08:57

Mathematics

When does a system of matrices have no solution, infinetly many solution, a unique solution. 9x+ky=9 kx+y=-3 find all the values of k such as the system has: no solution one unique solution infinetly many solution

Step-by-step answer

P Answered by PhD

I'm pretty sure it's no solution

Mathematics

When does a system of matrices have no solution, infinetly many solution, a unique solution. 9x+ky=9 kx+y=-3 find all the values of k such as the system has: no solution one unique solution infinetly many solution

Step-by-step answer

P Answered by PhD

I'm pretty sure it's no solution

Mathematics

How many solutions a system of linear equations have if: Questions. 1.the equations have different slopes? 2.the equations have the same slope and different y-intercepts. 3.the equations have the same slope and same y-intercepts. Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution

Step-by-step answer

P Answered by PhD

1

see below

Step-by-step explanation:

1.the equations have different slopes? They will intersect at one point so one solution

2.the equations have the same slope and different y-intercepts. They are parallel lines with a different y intercept so they will never intersect - no solutions

3.the equations have the same slope and same y-intercepts. they are the same line so they have infinite solutions

Mathematics

How many solutions a system of linear equations have if: Questions. 1.the equations have different slopes? 2.the equations have the same slope and different y-intercepts. 3.the equations have the same slope and same y-intercepts. Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution

Step-by-step answer

P Answered by PhD

1

see below

Step-by-step explanation:

1.the equations have different slopes? They will intersect at one point so one solution

2.the equations have the same slope and different y-intercepts. They are parallel lines with a different y intercept so they will never intersect - no solutions

3.the equations have the same slope and same y-intercepts. they are the same line so they have infinite solutions

Mathematics

5d-8=1+5d solve the equation. determine whether the equation has one solution, no solution, or infinetly many solutions.

Step-by-step answer

P Answered by PhD

2

no solution

Step-by-step explanation:

5d - 8 = 1 + 5d

Add 9 to both sides

5d = 9 + 5d

Subtract 5d

0 does not equal 9

No solutions

Mathematics

How many solutions a system of linear equations have if: Questions. 1.the equations have different slopes? 2.the equations have the same slope and different y-intercepts. 3.the equations have the same slope and same y-intercepts. Answers. A.no solutions. B.infinetly as many solutions C.two solutions. D.one solution

Step-by-step answer

P Answered by PhD

2

1 - D, 2 - A, 3 - B

Step-by-step explanation:

1. The equations have different slopes.

then one real solution

Example:

$\left\{\begin{array}{ccc}y=2x+2\\y=3x-5\end{array}\right$

subtract both sides of the equations

0=-x+7

subtract x from both sides

x=7

substitute it to the first equation

$y=2(7)+2\\y=14+2\\y=16$

$x=7;\ y=16$

Other explanation:

If the lines have different slopes, they intersect. The intersection coordinates are the solution to this system of equations.

2. The equations have the same slope and different y-intercepts.

then no solutions

Example:

$\left\{\begin{array}{ccc}y=-2x+3\\y=-2x-2\end{array}\right$

subtract both sides of the equations

$0=0+5\\\\0=5$

It's FALSE

Conclusion: No solutions

Other explanation:

If the lines have the same slopes, they are parallel. If they have different y-intercept, they have no common points (no solutions).

3. The equations have the same slope and same y-intercepts.

infinitely many solutions

Example:

$\left\{\begin{array}{ccc}y=3x+3\\y=3x+3\end{array}\right$

add both sides of the equations

0=0

It's TRUE

Conclusion: infinitely many solutions

Other explanation:

If the lines have the same slope and the same y-intercepts, then the equations shows the same line. Two overlapping straight lines have infinitely many common points (infinitely many solutions).

Mathematics

5d-8=1+5d solve the equation. determine whether the equation has one solution, no solution, or infinetly many solutions.

Step-by-step answer

P Answered by PhD

2

no solution

Step-by-step explanation:

5d - 8 = 1 + 5d

Add 9 to both sides

5d = 9 + 5d

Subtract 5d

0 does not equal 9