What is a set of outputs for y=2x
2 answers:
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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
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>:
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
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