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2 years ago

Determine the number of solutions to a system of equations.

Mathematics

1 answer:

babunello [35]2 years ago

7 0

Step-by-step explanation:

When we compare 2 system of equations (of the form y = mx + c), we take note of the following things:

If the values of m and c in both equations are the same, they have infinitely many solutions
If only the value of m is the same, they have no solutions
If neither is the same, they have 1 solution

Bearing this in mind, we have the following answers:

y = -6x - 2 and y = -6x - 2

=> Infinitely many solutions

y = 0.5x + 5 and y = 0.5x + 1

=> No solutions

y = 0.25x + 2 and y = 5x - 4

=> 1 solution

y = 2x + 3 and y = 4x - 1

=> 1 solution

y = 2x + 5 and y = 2x + 5

=> Infinitely many solutions

y = -x - 3 and y = -x + 3

=> No solutions

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Advocard [28]

Hi!

Let's find out how much he has to pay for each of the deals.

Deal 1

£1.75 per mile.

192 x 1.75 = 336

£336

Deal 2

15% off of £680

$\frac{x}{680} \frac{15}{100}$

680 x 15 = 10200

10200/100 = 102

680 - 102 = 578

£578

Deal 3

£90 per day - 1/10

90 x 7 = 630

1/10 of 630 = 63

630 - 63 = 567

£567

The cheapest deal would be Deal 1

Hope this helps! :)

-Peredhel

5 0

3 years ago

What is the answer to this math problem<br> 4-3=<br> 8-9=

ivann1987 [24]

Answer:

4-3=1

8-9=-1

Step-by-step explanation:

I hope this helps

3 0

3 years ago

Please help me solve

telo118 [61]

Answer:

(0, -1)

Step-by-step explanation:

x becomes x - 6, so subtract 6 from the x-coordinate.

y becomes y - 1, so subtract 1 from the y-coordinate.

P(6, 0) -----> P'(0, -1)

7 0

2 years ago

What are the roots of the equation? x^2+24=14×

defon

$\begin{gathered} x^2+24=14x \\ x^2-14x+24=0 \end{gathered}$

Therefore,

$\begin{gathered} x^2-14x+24=0 \\ x^2-2x-12x+24=0 \\ x(x-2)-12(x-2)=0 \\ (x-2)(x-12)=0 \\ x=2 \\ or\text{ } \\ x=12 \end{gathered}$

6 0

1 year ago

Select the linear equation represented in the graph

LiRa [457]

Answer:

Step-by-step explanation:

Since the line in the picture rises 1 unit for every 2 units it moves to the right, it has a slope of 1/2. Also, since it intersects the y axis at (0,3), the y intercept is 3. Therefore, the equation of the line is y=1/2x+3, or answer choice B. Hope this helps!

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2 years ago