If x + 3y = 7 and y = 2, what is the value of x?

If x + 3y = 7 and y = 2, what is the value of x?

• A. -1
• B. 1
• C. 3
• D. 4

Answer: (B)

To find the value of x in the equation x + 3y = 7 when y is given as 2, you should substitute the value of y into the equation. Start with the equation: x + 3y = 7. Substituting y = 2: x + 3(2) = 7. This simplifies to: x + 6 = 7. Next, to isolate x, subtract 6 from both sides: x = 7 - 6. Thus, you arrive at: x = 1. The correct answer is 1. This solution process demonstrates the importance of substituting known values into an equation and solving systematically to find the unknown variable.

To find the value of x in the equation x + 3y = 7 when y is given as 2, you should substitute the value of y into the equation.

Start with the equation:

x + 3y = 7.

Substituting y = 2:

x + 3(2) = 7.

This simplifies to:

x + 6 = 7.

Next, to isolate x, subtract 6 from both sides:

x = 7 - 6.

Thus, you arrive at:

x = 1.

The correct answer is 1. This solution process demonstrates the importance of substituting known values into an equation and solving systematically to find the unknown variable.