Question

Use the substitution method to solve the system of equations. Choose the correct ordered pair.

x + 2y=14
y= x + 4​

Answer 1

Answer: The correct option is (A) (2, 6).

Step-by-step explanation: We are given to use the substitution method to solve the following system of equations :

`x+2y=14~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\y=x+4~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)`

Substituting the value of y from equation (ii) in equation (i), we get

`x+2y=14\\\\\Rightarrow x+2(x+4)=14\\\\\Rightarrow x+2x+8=14\\\\\Rightarrow 3x=14-8\\\\\Rightarrow 3x=6\\\\\Rightarrow x=(6)/(3)\\\\\Rightarrow x=2.`

Again, from equation (ii), we get

`y=x+4=2+4=6.`

Thus, the required solution of the given system of equations is (x, y) = (2, 6).

Option (A) is CORRECT.