Answer:
A.
General Formulas and Concepts:
<u>Math</u>
<u>Algebra I</u>
Step-by-step explanation:
Where the 2 lines intersect is the solution to the systems of equations.
5/2 would be 2.5 and 4/3 would be approximately 1.333.
Our (x, y) for the graph is (2.405, 1.357), so our answer would be A.
The cost of one roll of plain wrapping paper is $5 and one roll of shiny wrapping paper costs $16.
Step-by-step explanation:
Step 1; Assume that the cost of one roll of plain wrapping paper is $x and a roll of shiny wrapping paper costs $y. so we have the following equations from the given data
4x + 3y = 68, take this as equation 1.
9x + 2y = 77, take this as equation 2
Step 2; We multiply equation 1 with 2 and equation 2 with 3 so we can cancel out the variable y in both equations. By doing this we get
8x + 6y = 136, take this as equation 3,
9x + 2y = 77, this is equation 4.
If we subtract 4 from 3, we cancel out the y variable and can calculate the value of x.
-19x = -103 , x = = 5.
Step 3; Substituting this value of x in any of the previous equations we will get x's value. Here this value of y is substituted in equation 1.
4 (5) + 3y = 68, 20 + 3y = 68 , 3y = 48, y= 16.
So we have x = $5 and y = $16.
The equation of the line is
<u>Step-by-step explanation:</u>
To find the equation of the line passing through a point and given its slope, the slope-intercept form is used to find its equation.
<u>The equation of the line when a point and slope is given :</u>
⇒
where,
Therefore, the equation of the line can be framed by,
⇒
⇒
Take the denominator 5 to the left side of the equation.
⇒
Now, multiply the number outside the bracket to each term inside the bracket.
⇒
⇒
Divide by 5 on both sides of the equation,
⇒
Therefore, the equation of the line is