Just use the coefficients for each variable and put it in a matrix. Is the second question set equal to something? Because then you would put it in place as the question mark. (Did the pic come through?)
So the 3x3 matrix is made up of the coefficients and then to augment the matrix, you add another column at the end with the solutions. Good luck!
Answer:
x=13
Step-by-step explanation:
The right side is a right triangle
The base is 1/2 of the bottom or 5
The height is 12 and the hypotenuse is x
We can use the Pythagorean theorem
a^2 +b^2 = c^2
5^2 +12^2=x^2
25+144 = x^2
169=x^2
Take the square root of each side
sqrt(169) = sqrt(x^2)
13=x
For the given systems A and B:
1) Replace the first equation of A by the sum between the two equations of A.
2) Yes, the systems are equivalent.
<h3>
How to get system B from system A?</h3>
Here we have the two systems of equations:
A:
6x - 5y = 1
-2x + 2y = -1
B:
4x - 3y = 0
-2x + 2y = -1
The second equation is the same in both systems, so we only look at the first equations.
In A we have:
6x - 5y = 1
If we add the second equation of A, then we get:
(6x - 5y) + (-2x + 2y) = 1 + (-1)
4x - 3y = 0
This is the first equation of B.
Then we need to replace the first equation by the sum between the first and second equations.
2) Are the systems equivalent?
Yes, because we did not "modify" system A, we just rewrite it and we got system B, then both systems have the same solutions.
If you want to learn more about systems of equations:
brainly.com/question/847634
#SPJ1
Answer:
Step-by-step explanation:
6-$10 12-$20 15-$25
part 2 $40
