Mathematics: 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)

The submarine needs to move up, so the rate the submarine needs to move is positive....

Use the substitution method to solve the system

Ответ:

ijohnh14

31.12.2021

Mathematics

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.

0,0(0 оценок)

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)

Ответ:

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question