Respuesta :

carlosego

Answer: One solution.

Step-by-step explanation:

You can solve the system of equations by applying the substitution method, as following:

- Subsitute [tex]y=x+1[/tex] into the second equation and solve for x, then:

[tex]2(x+1)-x=6\\2x+2-x=6\\x=4[/tex]

- Substitute the value of x obtained into one of the original equations:

[tex]y=4+1\\y=5[/tex]

Thefore the system have one solution.

zainebamir540

Answer:

The given system have one solution.

Step-by-step explanation:

We have given a system of equations.

y = x + 1          eq(1)

2y - x = 6       eq(2)

We use the substitution method to solve this question.

Putting eq(1) into eq(2), we have

2(x+1)-x  = 6

2x+2-x  =  6

Adding like terms, we have

x+2  =  6

x  = 6-2

x  = 4

Putting the value of x in eq(1), we have

y  = 4+1

y  = 5

hence, the given system have one solution.

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