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3 years ago

Find the x-intercept and y-intercept

Mathematics

1 answer:

Aneli [31]3 years ago

8 0

Answer:

x - intercept: (-22, 0)

y - intercept: (0, 11)

Step-by-step explanation:

Given the linear equation

-3x + 11y = 66

Determining the x-intercept

We know that the x-intercept can be computed by setting the value y=0 and solving for x.

substitute y = 0

-3x + 11y = 66

-3x + 11(0) = 66

-3x + 0 = 66

-3x = 66

Divide both sides by -3

-3x/-3 = 66/-3

x = -22

Thus, the ordered pair representing the x-intercept : (-22, 0)

Determining the y-intercept

We know that the y-intercept can be computed by setting the value x=0 and solving for y.

substitute x = 0

-3x + 11y = 66

-3(0) + 11y = 66

0 + 11y = 66

11y = 66

Divide both sides by 11

11y/11 = 66/6

y = 11

Thus, the ordered pair representing the y-intercept : (0, 11)

Therefore, we conclude that:

x - intercept: (-22, 0)

y - intercept: (0, 11)

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