All categories

3 years ago

How many solutions does this system have? y=5x-1 y=-3x+7

Mathematics

1 answer:

Vesnalui [34]3 years ago

8 0

Answer:

One solution

Step-by-step explanation:

We have the system

$y=5x-1\\y=-3x+7$

To solve the system, equate both equations and solve for the variable x.

$5x-1= -3x+7\\\\5x + 3x = 7 +1\\\\8x = 8\\\\x=1$

Now substitute the value of x in any of the two equations and solve for the variable y.

$y=5(1)-1$

$y=4$

Finally the system of equations has one solution

You might be interested in

2.5(4k+2)=12k solve for k

finlep [7]

Answer:

k = 2.5

Step-by-step explanation:

2.5 (4k+2) = 12k

10k + 5 = 12k

-10k

5 = 2k

5/2

2.5

3 0

3 years ago

Read 2 more answers

Which equation is this model?

Elan Coil [88]

Im not sure but I think could be

3x=0

3 0

3 years ago

Read 2 more answers

Brian correctly use a method of completing the square to solve the equation X a 2nd plus 7X -11 equals zero Brian‘s first step w

ArbitrLikvidat [17]

Answer:

$(\frac{7}{2})^{2}$

Step-by-step explanation:

Brain correctly use a method of completing the square to solve the equation:

$x^2+7x-11=0$

His First Step is to: Take the Constant Term to the Right Hand Side

$x^2+7x=11$

The Next Step Would be to:

Divide the Coefficient of x by 2
Square It
Add it to both Sides

In this case, the Coefficient of x = 7

Divided by 2 = $\frac{7}{2}$

Squaring It, we have: $(\frac{7}{2})^{2}$

It is this number $(\frac{7}{2})^{2}$ that is added to both sides in the manner below:

$x^2+7x+(\frac{7}{2})^{2}=11+(\frac{7}{2})^{2}$

6 0

4 years ago

Exercise 5.2<br>Which of the capital letters of the English alphabet are symmetrical?

daser333 [38]

Answer:

The Capital letter of English alphabet that are symmetric are B,C,D,E,H,I,K,OX

Step-by-step explanation:

hope it helps

4 0

3 years ago

does anyone have Skype or Outlook and do you want to join a Skype if you have Skype if you have Outlook email me

MaRussiya [10]

Answer:

not today

Step-by-step explanation:

sorry

3 0

3 years ago

Read 2 more answers