Question

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

Answer 1

Answer:

B

Step-by-step explanation:

y = 2x + 1

x + 3y = 10

x+3(2x+1)=10

x+6x+3=10

7x=10-3

7x=7

x=1

Option b is correct...

Answer 2

Answer:

option B

Step-by-step explanation:

$2x + 1 = y \\ 2x = y - 1 \\ x = y - 1 \div 2$

$x + 3y = 10 \\ put \: x \: value \: (x = y - 1 \div 2) \\ y - 1 \div 2 + 3y = 10 \\ y - 1 + 3y = 10 \times 2 \\ y - 1 + 3y = 20 \\ y + 3y = 20 + 1 \\ y + 3y = 21$

$y + 3y = 20 + 1 \\ y + 3y = 21 \\ y + y = 21 \div 3 \\ 2y = 7 \\ y = 7 \div 2$

according to problem

$x = y - 1 \div 2$

$y = 7 \div 2$

substitute y value x value

$(7 \div 2 - 1) \div 2 \\ 5 \div 2 = x \\ \\ x - y = (7 \div 2) - (5 \div 2) \\ x - y = 2 \div 2 \\ x - y = 1$

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