Question

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

a. (6, 2)
b. (6, 4)
c. (8, 4)
d. (8, 6)

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=(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.