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If the coordinates of a point are (x, y) and it lies on the line 2x + 3y = 6, wh
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)
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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)
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Substituting x = 0 in 2(0) + 3y = 6 gives 3y = 6, so y = 2.
Questions & Step-by-step Solutions
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Q: 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)
Solution:
Substituting x = 0 in 2(0) + 3y = 6 gives 3y = 6, so y = 2.
Steps: 10
Show Steps
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.
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