Answer:
(x, y) = (-4, 4)
Step-by-step explanation:
You find the values of x and y by working the problem using any of the methods of solving simultaneous equations that you have been taught.
Here, you observe that the y-coefficients are the same in each equation. That means you can cancel the y-terms by subtracting one equation from the other.
(7x +6y) -(4x +6y) = (-4) -(8)
3x = -12 . . . . simplify
x = -4 . . . . . . divide by 3
Now, you can substitute this into either equation to find y.
4(-4) +6y = 8
6y = 24 . . . . . . . . add 16
y = 4 . . . . . . . . divide by 6
The solution to this system of equation is ...
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
It's called a rectangle. This is just a definition, so there is not much to explain.
Answer:
<h2>The dimensions must all add up to 180°.</h2>
Step-by-step explanation:
For example;
Your triangles' angles are: 56, 77, and 47.
56 + 77 + 47 = 180
*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself. If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.
<h3><em>I hope this helped!</em></h3>
