Answer:
x = 5
y = 2
Step-by-step explanation:
-3x + 3y = -9
3y = 3x - 9
Equation 1. <em><u>y = x - 3</u></em>
-3x + y = 7
Equation 2. <u><em>y = 3x + 7</em></u>
So, put number 1 equation to number 2's y :
x - 3 = 3x + 7
x -3x = 7 + 3
-2x = 10
2x = 10
x = 10/2
x = 5
And, put x, which is 5 , to the any equation to figure out the y.
This time, I'll use equation number 1.
y = 5 - 3
y = 2
Answer:
x ≈ 83.7
Step-by-step explanation:
You are given a right triangle with the hypotenuse, an acute angle, and the side adjacent to the angle marked. The hypotenuse is unknown. The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
Filling in the given information, we have ...
cos(48°) = 56/x
x = 56/cos(48°) . . . . . multiply by x/cos(48°)
x ≈ 83.7
3x + 6
distribute the 3 to both of the places in the parentheses.
Answer:
It is proved that is a solution of Ax=b.
Step-by-step explanation:
As given let w and p be a solution of Ax=b. Then,
and
Defining,
To show is a solution of Ax=b, we have to show . Then,
(By putting value of )
(By distributive law)
(Since w and p are solution of Ax=b)
Hence become a solution of the homogenous system Ax=b.
Since w and p are solution of Ax=b, and any linear combination of the solutions again a solution of Ax=b, this shows that every solution of Ax=b is of the form where is a solution of Ax=0.
Answer:
x = 3
Step-by-step explanation:
To find the value of x. We have to use Exterior Angle Theorem.
It is says "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle."
In the given figure,
45x = 25x + (57 + x)
Now let's find the value of x.
First we need to isolate the variable terms
45x - 25x = 57 + x
20x - x = 57
19x = 57
x = 57/19
x = 3
The value of x = 3.
Thank you.