contestada


What is the solution to this system of equations?
3x + y = 17
x + 2y = 49
A.
It has no solution.
B.
It has infinite solutions.
C.
It has a single solution: x = 15, y = 17.
D.
It has a single solution: x = -3, y = 26.
Reset Next

Respuesta :

kudzordzifrancis

Answer:

D. It has a single solution: x = -3, y = 26.

Step-by-step explanation:

The given system is

[tex]3x+y=17...(1)[/tex]

and

[tex]x+2y=49...(2)[/tex].

Make x the subject in equation (2).

[tex]x=49-2y....(3)[/tex].

Put equation (3) into equation (1).

[tex]3(49-2y)+y=17[/tex]

[tex]147-6y+y=17[/tex]

[tex]-6y+y=17-147[/tex]

[tex]-5y=-130[/tex]

[tex]y=26[/tex]

[tex]x=49-2(26)=-3[/tex]

It has a single solution: x = -3, y = 26.

zainebamir540

Answer:

Choice D is correct  answer.

Step-by-step explanation:

We have given a system of equations.

3x + y = 17                                  eq(1)

x + 2y = 49                                eq(2)

We have to find the solution of given system.

Multiplying by 2 to both sides of eq(1), we have

6x+2y = 34                                eq(3)

Subtracting eq(2) from eq(3), we have

6x+2y-(x+2y) = 34-49

6x+2y-x-2y = -15

5x = -15

x  = -3

Putting the value of x in eq(2), we have

(-3)+2y = 49

2y = 49+3

2y = 52

y = 26

Hence, it has a single solution: x = -3, y = 26.

Otras preguntas