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Crazy boy [7]
3 years ago
6

What is the difference of the values of the two variables in this system of equations? y = 2x + 1 x + 3y = 10 A. 0 B. 1 C. 2 D.

3
Mathematics
2 answers:
pishuonlain [190]3 years ago
6 0
B would be the answer
Gennadij [26K]3 years ago
5 0

Answer:  The correct option is (C) 2.

Step-by-step explanation:  We are given to find the difference of the values of the two variables in the following system of linear equations :

y=2x+1~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+3y=10~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

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

x+3y=10\\\\\Rightarrow x+3(2x+1)=10\\\\\Rightarrow x+6x+3=10\\\\\Rightarrow 7x=10-3\\\\\Rightarrow 7x=7\\\\\Rightarrow x=\dfrac{7}{7}\\\\\Rightarrow x=1.

From equation (i), we get

y=2\times 1+1=2+1=3.

So, the values of the variables are x = 1  and  y = 3.

Therefore, the difference in the values of the variables is given by

D=y-x=3-1=2.

Thus, the required difference in the values of teh variables is 2.

Option (C) is CORRECT.

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