Question

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

Answer 1

Answer: B. (3,1)

Step-by-step 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)

Answer 2

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