Question

Use the equation x+ 3y = -6 for questions in 1 and 2

1.If x = 0, what is the value of y? *

a. 6
b. -6
c. 2
d. -2

2.If y = 0, what is the value of x? *

a. -2
b. 2
c. -6
d. 6​

Answer 1

Solution -

We have an equation,

• x + 3y = -6

⠀

Case I

• when x = 0

➝ 0 + 3y = -6

➝ 3y = -6

➝ y = -6/3

➝ y = -2

⠀

Hence,

• When x = 0, value of y is -2.

⠀

Case II

• when y = 0

➝ x + 3(0) = -6

➝ x + 0 = -6

➝ x = -6

⠀

Hence,

• When y = 0, value of x is -6.

⠀

Thus,

• (i) → option (d) is correct.
• (ii) → option (c) is correct.

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Answer 2

Answer:

ans of 1. option d) -2

ans of 2. option c) -6