Question

What is the value of x in the solution to this system of equations?

X-y=6
y=2x-5
A 1
B-1

C3
D-7

Answer 1

Explanation:

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Step-by-step explanation:

Step(i)

Given that the system of equations

x-y = 6 ..(i)

y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

x -(2x-5) =6

x -2x+5 =6

-x = 6-5

-x =1

x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)

Answer 2

B) -1

The 'x' value =-1 and y =-7

The solution of the given system of equations

(-1,-7)

Explanation:

Step(i)

Given that the system of equations

x-y = 6 ..(i)

y = 2x -5 ..(ii)

By using substitution method,

substitute y=2x-5 in equation (i) , we get

x -(2x-5) =6

x -2x+5 =6

-x = 6-5

-x =1

x=-1

Step(ii):-

Put x=-1 in equation (ii) , we get

y = 2(-1) -5 = -2-5 =-7

The solution of the given system of equations

(-1,-7)