If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 6, wh

₹0.0

Question: If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 6, what is the value of y when x = 0? (2023)

Options:

Correct Answer: 3

Exam Year: 2023

Solution:

Substituting x = 0 in 2(0) + 3y = 6 gives 3y = 6, so y = 2.

If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 6, what is the value of y when x = 0? (2023)

If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 6, what is the value of y when x = 0? (2023)

Step 1: Start with the equation of the line, which is 2x + 3y = 6.
Step 2: We need to find the value of y when x = 0.
Step 3: Substitute x = 0 into the equation. This means replacing x in the equation with 0.
Step 4: The equation now looks like this: 2(0) + 3y = 6.
Step 5: Simplify the equation. 2(0) is 0, so it becomes 0 + 3y = 6.
Step 6: This simplifies to 3y = 6.
Step 7: Now, to find y, divide both sides of the equation by 3.
Step 8: So, y = 6 / 3.
Step 9: Calculate 6 divided by 3, which equals 2.
Step 10: Therefore, when x = 0, the value of y is 2.

Linear Equations – Understanding how to manipulate and solve linear equations in two variables.
Substitution – Applying the substitution method to find the value of one variable when the other is known.