solve each system of equation by using a table
1. y=3x-4
y=-2x+11
2. 4x-y=1
5x+2y=24
how do you do these?
for #1, it's easy to substitute. You have two values for y, so set them equal.
3x-4 = -2x+11
5x = 15
x = 3
so, y=3x-4 = 5
For #2,
4x-y=1, so y=4x-1
Plug that in, and we have
5x+2y = 5x+2(4x-1) = 24
5x+8x-2 = 24
13x = 26
x = 2
so, y = 4x-1 = 7
There are lots of graphing sites. Try this one, which allows you to plot up to three functions on the same axes:
http://rechneronline.de/function-graphs/
solve each system of equation by grpahing
3. y=-3x+6
2y=10x-36
4. y=-x-9
3y=5x+5
y=3x-4 = 5
how did you get that
i don'tunderstand
ohhh ok
To solve each system of equations using a table, you can create a table with columns for x, y, and the equations of the system. Then, you can substitute different values for x into the equations, calculate the corresponding values of y, and fill in the table. By observing the values in the table, you can determine the values of x and y that satisfy both equations simultaneously.
Let's go through the process step-by-step for each system of equations:
1. y = 3x - 4 and y = -2x + 11:
First, create a table with columns for x, y, and the equations:
|x | y = 3x - 4 | y = -2x + 11 |
|---|-------------|--------------|
| 0 | -4 | 11 |
| 1 | -1 | 9 |
| 2 | 2 | 7 |
Now, substitute different values for x into the equations and calculate the corresponding values of y. Fill in the table accordingly.
Observing the table, we can see that the values of x and y that satisfy both equations simultaneously are (2, 7). So the solution to this system of equations is x = 2 and y = 7.
2. 4x - y = 1 and 5x + 2y = 24:
Create a table with columns for x, y, and the equations:
|x | 4x - y = 1 | 5x + 2y = 24 |
|---|-------------|---------------|
| 0 | 1 | 24 |
| 1 | 5 | 19 |
| 2 | 9 | 14 |
Substitute different values for x into the equations and calculate the corresponding values of y. Fill in the table accordingly.
Analyzing the table, you can see that the values of x and y that satisfy both equations simultaneously are (2, 14). Hence, the solution to this system of equations is x = 2 and y = 14.
By using the table method, you can systematically substitute values for x, calculate y, and determine the solution to the system of equations based on the patterns and relationships observed in the table.
really?
If x = 3, y=3*3-4 = 5