Question

Use the substitution method to solve the system of equations. choose the correct ordered pair. 13x - 2y = 70 2x - 2y = 4

Answer 1

The answer is B (6,4)..... if you put 6 for x and 4 for y in 2x-2y=4 you will confirm i am right

Answer 2

Answer:  The correct option is (b) (6, 4).

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

$13x-2y=70~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\2x-2y=4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

From equation (ii), we have

$2x-2y=4\\\\\Rightarrow x-y=2\\\\\Rightarrow x=y+2~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

Substituting the value of x from equation (iii) in equation (ii), we get

$13x-2y=70\\\\\Rightarrow 13(y+2)-2y=70\\\\\Rightarrow 13y+26-2y=70\\\\\Rightarrow 11y=70-26\\\\\Rightarrow 11y=44\\\\\Rightarrow y=\dfrac{44}{11}\\\\\Rightarrow y=4.$

From equation (iii), we get

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

Thus, the correct ordered pair solution of the given system is (x, y) = (6, 4).

Option (b) is CORRECT.