Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.3x + y = 10y = x – 2

A. (4,2)
B. (3,1)
C. (2,0)
D. (5, 3)

Answer 1

B. For the easiest way to find this, solve the first equation for y and then plug into the second equation for y. 

Answer 2

Answer: B. (3,1)

Explanation:

The given system of linear equations :-

`3x + y = 10......................(1)\\\\y = x - 2..................(2)`

Substitute the value of y from equation (2) in equation (1), we get

`3x + (x-2) = 10\\\\\Rightarrow\ 4x-2=10\\\\\Rightarrow\ 4x=12\\\\\Rightarrow\ x=3`

Now, substitute the value of x in equation (2), we get

`y=3-2=1`

Hence, the solution of the given system of equation = (3,1)