# Digital SAT Math - Desmos Lesson #2 Systems of Equations

TLDRIn this tutorial, Tutorlini Test Prep demonstrates how to use Desmos for solving systems of equations on the digital SAT Math section. The video explains that Desmos allows graphing equations without isolating y, making it easier to find intersections. Examples are provided, showing how to input equations and use Desmos' features to zoom and move the graph to identify solutions. The video also covers how Desmos can simplify solving linear and quadratic systems, potentially saving time on the SAT. The presenter encourages viewers to practice using Desmos and offers tutoring services for further assistance.

### Takeaways

- 📐 Desmos is a powerful tool for solving systems of equations on the SAT Math section without needing to isolate y.
- 🔍 You can directly input equations into Desmos, even if they are not in the form of y = ..., to find intersections.
- 🖱️ Use mouse tools like clicking and dragging to move the graph and zooming in and out to better locate intersections.
- 🔢 For the first example, the system of equations 4x = 20 and -3x + y = -7 intersects at (5, 8), leading to the solution x + y = 13.
- ✅ Desmos provides the exact coordinates of the intersection point, which can be used to answer related questions.
- 🔄 For the second problem, the system 24x + y = 48 and 6x + y = 72 intersects at (-4/3, 80), focusing on the y-value for the answer.
- 📉 Desmos is also effective for systems involving a mix of linear and quadratic equations, as demonstrated in the third example.
- 🎯 In the third example, the linear equation y = 6x - 12 barely touches the parabola y = x^2 - 2x + 4 at (2, 0), providing a unique solution.
- ⏰ Using Desmos can save time on the SAT, allowing test-takers to allocate more time to more challenging problems.
- 👨🏫 The presenter offers tutoring services for all sections of the SAT and math subjects from 7th grade to AP/early college level.

### Q & A

### What is the main topic of the video?

-The main topic of the video is how to use Desmos for solving systems of equations in digital SAT Math.

### What is a key advantage of using Desmos over traditional graphing calculators for graphing equations?

-A key advantage of Desmos is that you do not need to get 'y' by itself to graph an equation; as long as it is in terms of 'X' and 'Y', you can plug the equations directly into Desmos and look for the intersection.

### How can you interact with the graph on Desmos during the SAT?

-You can click and drag to move the graph around and use the scroll wheel to zoom in and out.

### What is the solution to the system of equations 4X = 20 and -3X + Y = -7 as demonstrated in the video?

-The solution to the system of equations is (5, 8).

### What is the value of X + Y for the solution (5, 8) from the video?

-The value of X + Y for the solution (5, 8) is 13.

### What are the equations used in the second example of the video?

-The equations used in the second example are 24X + Y = 48 and 6X + Y = 72.

### What is the solution to the system of equations 24X + Y = 48 and 6X + Y = 72?

-The solution to the system is (-4/3, 80).

### How does Desmos handle systems of equations that include both linear and quadratic equations?

-Desmos can handle systems of equations with both linear and quadratic equations in the same way, by graphing them and finding the intersection points.

### What is the solution to the system of equations Y = X - 2 and Y = 6X - 12 as shown in the video?

-The solution to the system is (2, 0).

### What is the benefit of using Desmos for solving systems of equations on the SAT?

-Using Desmos can save time on solving systems of equations that are difficult to do by hand, allowing more time to tackle tougher questions.

### What additional services does the tutor offer as mentioned in the video?

-The tutor offers tutoring services for all sections of the SAT and all math subjects from about 7th grade to AP/early college level.

### Outlines

### 📐 Desmos for Solving SAT Math Systems of Equations

The speaker introduces a tutorial on using Desmos for the digital SAT Math section, focusing on systems of equations. They explain that Desmos allows for graphing equations without isolating y, simply by inputting equations in terms of x and y. The tutorial demonstrates how to input equations into Desmos and find their intersection points, which represent the solutions to the systems. The speaker walks through three examples, showing how to use Desmos to solve for the intersection points, calculate x+y, and identify the correct answer choices. They also highlight the benefits of using Desmos over traditional graphing calculators, emphasizing its utility for both known and unknown systems of equations, and its potential to save time on the SAT.

### 🎓 Conclusion and Call to Action for SAT Math Resources

In the concluding paragraph, the speaker summarizes the lesson and encourages viewers to like and subscribe for more digital SAT Math content. They also promote their tutoring services, offering to tutor all sections of the SAT and math subjects from 7th grade to AP or early college level. The speaker provides a link to their website in the video description for those interested in their tutoring services. They thank the viewers for watching and wish them luck with their studies.

### Mindmap

### Keywords

### 💡Desmos

### 💡Systems of Equations

### 💡Graphing

### 💡Intersection

### 💡Zoom In/Out

### 💡Scroll Wheel

### 💡Linear Equations

### 💡Quadratic Equations

### 💡Solution

### 💡SAT Math

### Highlights

Desmos allows graphing equations without isolating y, as long as they are in terms of x and y.

Desmos is advantageous over physical graphing calculators for digital SAT Math.

Equations can be directly input into Desmos to find intersections for system solutions.

Use mouse to navigate and zoom in Desmos for better visibility of graph intersections.

Example problem: 4x = 20 and -3x + y = -7, intersection found at (5,8).

For x + y, sum the coordinates of the intersection point for the answer.

Second example: 24x + y = 48 and 6x + y = 72, intersection at (-1.33, 80).

Desmos can solve for y values in system equations.

Third example involves a linear and quadratic system: y = x - 2 and y = 6x - 12.

Intersection of linear and quadratic systems can be found using Desmos.

Desmos is a powerful tool for solving various types of system equations.

Desmos can save time on problems that are solvable by hand, allowing focus on tougher questions.

The tutorial covers how to use Desmos for the digital SAT Math section.

Desmos is recommended for its ease of use and effectiveness in solving systems of equations.

The tutor offers services for tutoring all sections of the SAT and math subjects.

The video concludes with a call to like, subscribe, and check the description for tutoring services.