Verified answer

Question:

What is the x-intercept of the equation  2x + y = 6?

• In finding the x-intercept, substitute y to 0 and solve for x.

Solution:

2x + y = 6

• 2x + 0 = 6
• 2x = 6 - 0
• 2x = 6
• 2[2x = 6]2
• x = 3

Answer:

• The x-intercept is 3.

Problem:

What is the x-intercept of the equation?

• 2x + y = 6

Choices:

• A. 3
• B. -3
• C. 2
• D. -2

Answer:

• The answer is option letter a. 3.

Solution:

Solve the x-intercept of the equation

• 2x + y = 6

To find the x-intercept, substitute the y which is set y equal to zero and solve for x.

y = 0

• 2x + y = 6
• 2x + (0) = 6
• 2x = 6/2
• x = 3

Check the values of the variables obtained by substituting to the system.

Letter A.

For x = 3

• 2x + (0) = 6
• 2(3) + (0) = 6
• 6 + 0 = 6
• 6 = 6 ✔ True

Letter B.

For x = -3

• 2x + y = 6
• 2(-3) + (0) = 6
• -6 + 0 = 6
• -6 = 6 X False

Letter C.

For x = 2

• 2x + y = 6
• 2(2) + (0) = 6
• 4 + 0 = 6
• 4 = 6 X False

Letter D.

For x = -2

• 2x + y = 6
• 2(-2) + (0) = 6
• -4 + 0 = 6
• -4 = 6 X False

Therefore, the x-intercept of the equation is 3.

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