Solve the equation P = 3L + 2W for w
2 answers:
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See the explanation
<h2>Explanation:</h2>The complete question is attached below. In order to solve this problem, we'll use a graphing tool. First of all, we'll say that the LHS is a linear function and the RHS is another linear function, so for each case, we'll have:
For each graph, will be drawn in red while
will be drawn in blue.
Case 1:
So by equating both equations:
By using graphing tool we get a point of intersection at which the x-value is the solution to our equation. So:
<u>Solution:</u>
See First Figure below.
Case 2:
Applying a similar method as in case 1.
<u>Solution:</u>
See Second Figure below.
Case 3:
Applying a similar method as in case 1.
<u>Solution:</u>
See Third Figure below.
Case 4:
Applying a similar method as in case 1.
<u>Solution:</u>
See Fourth Figure below.
<h2>Learn more:</h2>Methods for solving system of equations: brainly.com/question/10185505
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Answer:
ONE SOLUTION
Step-by-step explanation:
When two points on a line are given, the equation of the line is given by the formula:
where and
are the points on the line.
Here, the first set of points are: and
.
Therefore, and
.
The line passing through this is given by:
∴ 2x + y - 1 =0
Now, for the second line, the points are:
and
.
Therefore,
∴ 2x - y + 2 = 0
Now, to determine the number of solutions the two equations have, we solve these two equations,
Adding Eqn(1) and Eqn(2) we get:
4x = -1
And .
Since, we arrive at unique values of 'x' and 'y', we say the lines have only one unique solution.