8/x= 2/5
8•5= 2•x
40=2x
40/2= x
20= x
<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
⇒ 
- Annie's age is 13 less than 3 times Carl's age
⇒ 
Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

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

<h2>Answer</h2>
Therefore, Grandma Annie is 92 years old.
The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Step-by-step explanation:
Given points are:
(-3,-1) =(x1,y1)
(-6,3)=(x2,y2)
The slope-intercept form of equation of line is:

We have to find the slope first
Putting the value of slope in the slope intercept form

To find the value of b, putting the point (-3,-1) in the equation

Putting the values of b and m

The equation of line that passes through the points (-3,-1) and
(-6,3) is:

Keywords: Equation of line, slope intercept form
Learn more about equation of line at:
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