Answer:
Different ways to solve a system of linear equations:
- isolate one variable in one equation and replace it in the other equation
- multiply/divide one equation by a constant and then add/subtract it to the other one, so that only one variable remains
- graph the equation and look at the intersection point
If you graph the system:
- there is only one solution if the lines intersects at only one point
- there is no solution if the lines don't intersect each other (they are parallel)
- there are infinitely many solutions if the lines overlap each other (they are the same equation multiplied by some constant)
Step-by-step explanation:
1st system
y = -x – 7
y = 4/3 x – 7
solution: x= 0, y = 7
2nd system
y = -3x – 5
y = x + 3
solution: x = -2, y = 1
3rd system
y = -2x + 5
y = 1/3 x – 2
solution: x = 3, y = -1
4th system
3x + 2y = 2
x + 2y = -2
solution: x = 2, y = -2
5th system
x + 3y = -9
2x – y = -4
solution: x = -3, y = -2
6th system
x – 2y = 2
-x + 4y = -8
solution: x = -4, y = -3
7th system
5x + y = -2
x + y = 2
solution: x = -1, y = -3
Answer:
Hours: Elevation:
0 3000
2 2000
5 500
Step-by-step explanation:
Time is always placed on the x (horizontal) axis, and the dependent variable on the y. Just find the number given and find the corresponding value to go with it! Hope this helps :)
13 is prime because there is only 1 factor 1 and 13.
Answer:
<h3>20.6 ft</h3>
Step-by-step explanation:
You must use the trigonometric function.
In this case, it will be tangent.

We have


Substitute:

<em>multiply both sides by 20</em>

Tree height is r + 5.
Therefore

Answer:
f(x) = -4x + 12
Step-by-step explanation:
y - 2x = -6x + 12
+2x +2x
f(x) = -4x + 12