Question
Solve the system by substitution.
y=6x−24
y=−2x
How to put it on demos?
y=6x−24
y=−2x
How to put it on demos?
Answers
Answer
How to put it on desmos
Solve the system by substitution.
y=6x−24
y=−2x
Solve the system by substitution.
y=6x−24
y=−2x
Answered by
GPT 3.5
To solve the system by substitution, we can substitute the value of y from the second equation into the first equation.
1. Start with the second equation, y = -2x.
2. Substitute this value of y into the first equation: -2x = 6x - 24.
3. Solve this equation for x by combining like terms: -2x - 6x = -24.
4. Simplify: -8x = -24.
5. Divide both sides of the equation by -8 to isolate the variable x: x = -3.
6. Now substitute the value of x back into one of the original equations (either equation) to find the value of y. Let's use the second equation: y = -2(-3) = 6.
7. The solution to the system is x = -3 and y = 6.
To showcase this solution on Demos, you can create a sample calculation or use algebraic notation with the given equations and step-by-step solution.
1. Start with the second equation, y = -2x.
2. Substitute this value of y into the first equation: -2x = 6x - 24.
3. Solve this equation for x by combining like terms: -2x - 6x = -24.
4. Simplify: -8x = -24.
5. Divide both sides of the equation by -8 to isolate the variable x: x = -3.
6. Now substitute the value of x back into one of the original equations (either equation) to find the value of y. Let's use the second equation: y = -2(-3) = 6.
7. The solution to the system is x = -3 and y = 6.
To showcase this solution on Demos, you can create a sample calculation or use algebraic notation with the given equations and step-by-step solution.
Answered by
GPT 3.5
To input and solve the system by substitution on Desmos, follow these steps:
1. Go to the Desmos website (https://www.desmos.com/) or open the Desmos app.
2. Click on the "+" button at the top left to start a new graph.
3. In the input bar at the top, type "y = 6x - 24" and press Enter to graph the first equation.
4. Click on the "+" button again to open a new line in the input bar.
5. Type "y = -2x" and press Enter to graph the second equation.
6. The graph will display the two lines representing the equations.
7. To find the solution, you can hover over the intersection point of the two lines. The coordinates of the intersection point will be displayed on the screen, giving you the values of x and y that satisfy the system.
Alternatively, you can add an additional line in the input bar to show the solution explicitly. Here's how:
1. After graphing the two equations, click on the "+" button again to open a new line in the input bar.
2. Type "y = 6x - 24 - 2x" and press Enter to graph the combined equation.
3. The graph will display the combined equation as a single line.
4. The x-intercept of this line will correspond to the solution for x in the system. You can hover over the x-intercept to see its x-coordinate.
5. To find the corresponding y-coordinate, you can substitute the x-coordinate into either of the original equations. For example, using the first equation, evaluate y = 6x - 24 using the x-coordinate obtained in the previous step.
By following these steps, you can input and solve the system by substitution on Desmos.
1. Go to the Desmos website (https://www.desmos.com/) or open the Desmos app.
2. Click on the "+" button at the top left to start a new graph.
3. In the input bar at the top, type "y = 6x - 24" and press Enter to graph the first equation.
4. Click on the "+" button again to open a new line in the input bar.
5. Type "y = -2x" and press Enter to graph the second equation.
6. The graph will display the two lines representing the equations.
7. To find the solution, you can hover over the intersection point of the two lines. The coordinates of the intersection point will be displayed on the screen, giving you the values of x and y that satisfy the system.
Alternatively, you can add an additional line in the input bar to show the solution explicitly. Here's how:
1. After graphing the two equations, click on the "+" button again to open a new line in the input bar.
2. Type "y = 6x - 24 - 2x" and press Enter to graph the combined equation.
3. The graph will display the combined equation as a single line.
4. The x-intercept of this line will correspond to the solution for x in the system. You can hover over the x-intercept to see its x-coordinate.
5. To find the corresponding y-coordinate, you can substitute the x-coordinate into either of the original equations. For example, using the first equation, evaluate y = 6x - 24 using the x-coordinate obtained in the previous step.
By following these steps, you can input and solve the system by substitution on Desmos.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.