Mathematics: Use the substitution method to solve the system of equations. choose the correct ordered pair.x + 2y=14y= x + 4

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Use the substitution method to solve the system of

Ответ:

laniflower6

05.01.2022

Mathematics

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

$x+2y=14\\\\\Rightarrow x+2(x+4)=14\\\\\Rightarrow x+2x+8=14\\\\\Rightarrow 3x=14-8\\\\\Rightarrow 3x=6\\\\\Rightarrow x=\dfrac{6}{3}\\\\\Rightarrow x=2.$

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.

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Use the substitution method to solve the system of equations. choose the correct ordered pair.
x + 2y=14
y= x + 4

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