Graphing Systems of Linear Equations - Examples & Practice
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- Solving Systems of Linear Equations by Graphing There are three solving methods for linear systems: substitution, elimination, and graphing. The graphing method lets you visuali…
By Andrew Wang, James Cleveland, Bryant Ng, Moor Xu, Zora Gilbert, Alex Federspiel, Caroline K, Jonathan Heller, Anusha Rahman
- There are three direct approaches to solving systems of equations: Substitution Elimination Graphing (here!) The great news is that all three methods should help you arrive at t…
By Hannah Bonville, Zora Gilbert, Alex Federspiel, Joshua Siktar, Caroline K, Jonathan Heller, Anusha Rahman
- (Video) Solving Systems of Equations By Graphing by Friendly Math 101 Here's a video by Friendly Math 101 showing you how to solve a system of equations by graphing. Summary\lar…
By Alex Federspiel, Zora Gilbert, Joshua Siktar, Amy Feraco, Caroline K, Anusha Rahman
Problems 25
- Solve the following system by graphing. 3x+4y=2.55x−4y=25.5\begin{align} 3x + 4y &= 2.5 \\ 5x - 4y &= 25.5 \end{align}3x+4y5x−4y=2.5=25.5
- The green line and blue line intersect in a point (x,y)(x,y)(x,y). Find 10x+y10x+y10x+y.
- Which of the graphs represents the following system of equations? 3x+4y=123x+4y=123x+4y=12 2x−3y=92x-3y=92x−3y=9
- Solve the system of equations by graphing. 2x+5y=122x+5y=122x+5y=12 4x−y=24x-y=24x−y=2 If the solution is (x,y)(x,y)(x,y), write the value of 10x+y10x+y10x+y as your answer.
- Which two equations give you a system with the solution (−2,3)(-2,3)(−2,3)?
- Which graph represents this system of equations? 30y−9x=4530y-9x=4530y−9x=45 7x−10y=57x-10y=57x−10y=5
- Solve the system of equations by graphing. 3y−x=203y-x=203y−x=20 y−2x=15y-2x=15y−2x=15 If the solution is (x,y)(x,y)(x,y), write in the value of x+yx+yx+y as your answer.
- What are the slope and yyy-intercept of the line y=3x−8y = 3x - 8y=3x−8, respectively?
- What is the slope-intercept form of this equation? 6x−3y=126x - 3y = 126x−3y=12
- Can the following system of equations have a solution? y=2x+6y = 2x + 6y=2x+6 y=2x+8y = 2x + 8y=2x+8
- How many solutions does the following system of linear equations have? y=−3x+4y = -3x + 4y=−3x+4 y=−3x+4y = -3x + 4y=−3x+4
- Which two equations form the system of equations pictured in the graph above?
- Which two equations form the system of equations pictured in the graph above?
- Which two equations form the system of equations pictured in the graph above?
- Given the graphs of y=4x+2y=4x+2y=4x+2 and y=−2x−1y=-2x-1y=−2x−1 pictured above, find the xxx-value in the solution to the system of equations: y=4x+2y=4x+2y=4x+2 y=−2x−1y=-2x-1…
- Given the graphs of y=2x+1y=2x+1y=2x+1 and y=x+2y=x+2y=x+2 pictured above, find the xxx-value in the solution to the system of equations: y=2x+1y=2x+1y=2x+1 y=x+2y=x+2y=x+2
- Given the graph of y=12x+2y=\frac{1}{2}x+2y=21x+2 pictured above, which of the following equations intersects with y=12x+2y=\frac{1}{2}x+2y=21x+2 at the point (−2,1)(-2,1)(−2,1)?
- Given the graph of y=−x+1y=-x+1y=−x+1 pictured above, which of the following equations intersects with y=−x+1y=-x+1y=−x+1 at the point (−1,2)(-1,2)(−1,2)?
- Given the graph of y=−x+1y=-x+1y=−x+1 pictured above, at which point will the line y=x+3y=x+3y=x+3 intersect with y=−x+1y=-x+1y=−x+1?
- Given the graph of y=x−1y=x-1y=x−1 pictured above, at which point will the line y=2x−1y=2x-1y=2x−1 intersect with y=x−1y=x-1y=x−1?
- Given the system of equations pictured above, which of the following lines could be added to the system without changing the solution?
- Consider the graph above of a system of two linear equations, shown in green. Which point(s) represent(s) the solution(s)?
- Consider the graph above of a system of two linear equations, shown in green. Which point(s) represent(s) the solution(s)?
- Consider the graph above of a system of two linear equations, shown in green. Which point(s) represent(s) the solution(s)?
- Consider the graph above. What is the xxx-coordinate of the purple point?