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prohojiy [21]
3 years ago
12

Find the x and y intercepts of the line with equation 3y - 6 = 3?

Mathematics
2 answers:
storchak [24]3 years ago
4 0
The answer is 3 times y minus six equals to 3 .y=5 so three times five is fifteen so then you take that total and subtract it with six which equals to three . hope this helps you
Katyanochek1 [597]3 years ago
3 0
<u>X - Intercept</u>
  3y - 6x = 3
3(0) - 6x = 3
    0 - 6x = 3
        <u>-6x</u> = <u>3</u>
         -6    -6
           x = -0.5

<u>Y - Intercept</u>
  3y - 6x = 3
3y - 6(0) = 3
    3y - 0 = 3
         <u>3y</u> = <u>3</u>
          3     3
           y = 1
<u>
X - Intercept and Y - Intercept</u>
(x, y) = (-0.5, 1)
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7. The difference of Grandma Annie's age and twice Carl's is 22. Gran
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<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

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