 , 22.06.2019 21:20 james2811

# How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20 one solution: (–2.5, 0) one solution: (2.5, 0) no solution infinite number of solutions one solution: (2.5, 0)

Step-by-step explanation:

y = 2x – 5

–8x – 4y = –20

Solve the second equation for y

–8x+8x – 4y =8x –20

-4y = 8x-20

Divide by -4

-4y/-4 =8x/-4 -20/-4

y = -2x+5

The two equations are

y = 2x-5

y = -2x+5

Both equations are solved for y so set them equal

2x-5 = -2x+5

2x+2x-5 = -2x+2x+5

4x-5 = 5

4x-5+5 = 5+5

4x=10

Divide by 4

4x/4 = 10/4

x = 2.5

y = 2x-5

Substitute x=2.5 in

y = 2(2.5) - 5

y=5-5

y=0

There is one solution (2.5,0) Equation (1):
y = 2x - 5

Equation (2):
-8x - 4y = -20
(-8x - 4y = -20) /4   ⇒  Simplify by dividing each term by GCF 4
-2x - y = -5

Substitution to find x:

-2x - y = -5
-2x - (2x - 5) = -5
-2x - 2x + 5 = - 5
-4x/-4 = (-5 -5)/-4
x = -10/-4
x = 5/2  or  2.5

Find y:
y = 2x - 5
y = 2(2.5) - 5
y = 5 - 5
y = 0

ANSWER: One solution (x,y) = (2.5, 0)

Interpretation: The lines are intersecting and the system is consistent and independent.

Check:
y = 2x - 5
0 = 2(2.5) - 5
0 = 5-5
0 = 0  (True)

-2x - y = -5
-2(2.5) - 0 = -5
-5 = -5   (True)

@PrimAndProper B (2.5, 0)

B: - One solution: (2.5, 0)

Step-by-step explanation:

Given : Two linear equation -

Equation 1 -

Equation 2 -

To find : How many solutions does this linear system have?

Solution :

We solve the given equations,

Substitute the value of y from equation 1 in equation 2

Now, put value of x in equation 1

There is one solution (x,y) = (2.5, 0)

B is correct. step-by-step explanation:

c- 2o is equal to 9 tangent

step-by-step explanation:  ### Other questions on the subject: Mathematics Mathematics, 21.06.2019 21:30, francescanajar5
Your friend uses c=50p to find the total cost, c, for the people, p, entering a local amusement park is the cost of admission proportional to the amount of people entering the amusement park? explain. Mathematics, 21.06.2019 21:50, lilybrok04
(x-5)1/2+5=2 what is possible solution of this equation Nicole is making carrot bread she needs 5 cups of carrots for 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need? write the ration in three different ways Frank is lending \$1,000 to sarah for two years. frank and sarah agree that frank should earn a real return of 4 percent per year. instructions: a. the cpi (times 100) is 100 at the time that frank makes the loan. it is expected to be 113 in one year and 127.7 in two years. what nominal rate of interest should frank charge sarah?
How many solutions does this linear system have? y = 2x – 5 –8x – 4y = –20 one solution: (–2.5, 0...

### Questions in other subjects:          Questions on the website: 13576006