To solve the system of equations:
1. Start by setting the two equations equal to each other:
y = 2x - 1
y = 5 - x
2. Since both equations are equal to y, we can set them equal to each other:
2x - 1 = 5 - x
3. Simplify the equation by combining like terms:
2x + x = 5 + 1
3x = 6
4. Divide both sides of the equation by 3 to solve for x:
x = 2
5. Substitute the value of x back into one of the original equations to solve for y. Let's use the first equation:
y = 2(2) - 1
y = 4 - 1
y = 3
Therefore, the solution to the system of equations is x = 2 and y = 3.
Now, let's graph the equation y = 5 - x:
To graph the equation, we can create a table of values by choosing different values for x and calculating the corresponding values of y. Here are some points that lie on the graph:
x | y
-----
0 | 5
1 | 4
2 | 3
3 | 2
4 | 1
Plot these points on a coordinate plane and connect them to form a straight line. The graph of y = 5 - x will have a negative slope of -1 and intersect the y-axis at 5.
I hope this helps! Let me know if you have any further questions.
Answer:
140 x 180
Step-by-step explanation:
To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse.
To find the measure of the unknown angle in a straight angle ABC, you can use the equation A = A + A. This equation is derived from the Pythagorean theorem, which relates the legs of a right triangle to the length of the hypotenuse. In a straight angle, the two legs are equal, so the equation simplifies to A = 2A. Therefore, the measure of the unknown angle is twice the measure of one of the legs
-6x + 5 + 12x -6
Answer:
14 and 15
Step-by-step explanation:
14.6628782986, this is the square root.
The square root of 215 lies between the whole numbers 14 and 15 since 215 falls between the squares of these two numbers (196 and 225).
To find out which two whole numbers the square root of 215 lies between, we need to find the squares of consecutive whole numbers until we identify the two between which 215 falls. The square of 14 is 196 and the square of 15 is 225. Therefore, since 215 is between 196 and 225, the square root of 215 lies between 14 and 15.
#SPJ2
a subject and a complete thought
a subject, a verb, and a complete thought
a verb and a complete thought
a complete thought
Answer: A subject, a verb, and a complete thought.
Step-by-step explanation:
Independent clauses have three components:
Step-by-step explanation:
A subject, a verb, and a complete thought