Systems of equations with graphing (article) | Khan Academy (2024)

Walk through examples of solving systems of equations by finding the point of intersection.

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  • tkaufmann

    4 years agoPosted 4 years ago. Direct link to tkaufmann's post “Is there some potion or s...”

    Is there some potion or something I can drink to become better and have MEMORY RETENTION when it comes to math? I am in college and this is all new to me. I moved around alot when younger, so I never really got the concept of more advanced mathematics. I just stare at problems for long times and have no idea where to start half the time, but once I get rolling I don't stop. Any advice?

    (62 votes)

    • micah.eichelberger03

      a year agoPosted a year ago. Direct link to micah.eichelberger03's post “I wish!”

      I wish!

      (6 votes)

  • Ivan

    6 years agoPosted 6 years ago. Direct link to Ivan's post “How could you convert a n...”

    How could you convert a normal system of equations into slope intercept form?

    (19 votes)

    • Evan Evan

      2 years agoPosted 2 years ago. Direct link to Evan Evan's post “You've waited 5 years for...”

      Systems of equations with graphing (article) | Khan Academy (7)

      Systems of equations with graphing (article) | Khan Academy (8)

      You've waited 5 years for the answer, so here it is. You can solve one equation for either variable, then plug that into the other equation and solve that one completely, plug that back into the first equation, and now you know all the variables and you can do whatever you want with them, like put them into slope intercept form.

      (32 votes)

  • i litterally have no clue what im doing rn!

    (21 votes)

    • iann

      2 years agoPosted 2 years ago. Direct link to iann's post “I love Khan Academy becau...”

      Systems of equations with graphing (article) | Khan Academy (12)

      I love Khan Academy because it's the only thing thatś actually helping me learn this stuff right now but The US education system is truly a failure.

      (21 votes)

  • GameThery13

    a year agoPosted a year ago. Direct link to GameThery13's post “I hope everyone on Khan a...”

    I hope everyone on Khan academy has a good day and a wonderful life! :)

    (21 votes)

    • finley

      10 months agoPosted 10 months ago. Direct link to finley's post “I'm not”

      I'm not

      (6 votes)

  • x.asper (bio)

    4 years agoPosted 4 years ago. Direct link to x.asper (bio)'s post “Please help me! I have no...”

    Please help me! I have no idea how to even find out which coordinates I am supposed to put these lines on. They don't explain this concept well.

    (19 votes)

    • JANESHB

      2 years agoPosted 2 years ago. Direct link to JANESHB's post “When given a Slope-Interc...”

      When given a Slope-Intercept form equation what you can do to graph is graph the y-intercept "b" which is the number without a variable on the graph first, this means you have to put that point on the vertical line where the "b" is shown. Then you just have to move one on the x-axis (the horizontal) and the amount next to the x up or down (the number next to the x is the "m" better known as the slope). I hope this helps.

      (6 votes)

  • RareWare

    2 years agoPosted 2 years ago. Direct link to RareWare's post “Is there anyone who can e...”

    Is there anyone who can explain this to me?

    I'm in 8th grade. My teacher uses a service called "my.hrw" and every time you get it wrong, it never explains why. I know adults say "ask the teacher" but he always explains like I know what he's saying. There are lots of things about this and all the adults I ask about math in general get angrier every time I ask a question like "ok, but why are we doing this" or "why do we use THIS number instead of THAT number." I've asked the teacher to explain it to me multiple times, I've watched almost every YouTube and Khan Academy video at this point, and looked on every website imaginable. It seems like everyone else gets this concept except I. I've got to learn this to get to the next thing that I'm supposed to be learning right now but I can't grasp that concept because it requires you know how to do this! Can ANYONE explain this in simple, easy to understand terms, and break it down step by step, process by process?

    (17 votes)

    • VioletD

      a year agoPosted a year ago. Direct link to VioletD's post “darn thats a lot of confu...”

      darn thats a lot of confusion. concept like this are hard but the best piece of advice I can give is focus on how each piece of the problem connect, break it down if you have to, and try and piece it together in a way you may be able you understand so things like these won't cause you so much trouble, like if you look at y = 1/2x + 3, I notice that in the graph it uses the 1/2 to make the angle that the line is at, right? then I observe that the line goes up one on the y-axis, and right two on the x-axis, which makes 1/2 which are both positive numbers.

      (7 votes)

  • Nik Miller

    4 years agoPosted 4 years ago. Direct link to Nik Miller's post “it was really hard to und...”

    it was really hard to understand

    (14 votes)

    • Xavai Reddy

      2 years agoPosted 2 years ago. Direct link to Xavai Reddy's post “*If I am being frank, thi...”

      *If I am being frank, this is very hard, I took around 2-3 hours of work to understand. Just keep on going.*

      (5 votes)

  • Ajax

    a year agoPosted a year ago. Direct link to Ajax's post “I dont quite understand t...”

    I dont quite understand the graphing part, what exactly do we have do in order to get the numbers? Sorry im a slow learner.

    (10 votes)

    • Kim Seidel

      a year agoPosted a year ago. Direct link to Kim Seidel's post “You can graph any line by...”

      Systems of equations with graphing (article) | Khan Academy (28)

      You can graph any line by calculating two points on the line. If you want to ensure that you have good points, then you would also calculate a 3rd point. If you can line up 3 points in a straight line, you likely don't have errors.

      Some ways to find points:
      1) Pick a value for X and use the equation to calculate the corresponding Y value. You then have one point (x, y). See examples at: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-solutions-to-two-var-linear-equations/v/graphing-solutions-to-2-variable-linear-equations-1

      2) Find the X and Y intercepts. You can learn how to do this at: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-x-and-y-intercepts/v/introduction-to-intercepts

      3) If the equation is in slope intercept form: y=mx+b, you are given a point, the y-intercept at (0, b). Graph that point, then use the slope (m) to find other points. You can learn about this at: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope-intercept-form/v/graphing-a-line-in-slope-intercept-form

      Note: The lesson on systems of linear equations assumes that you know these skills. So, you may want to brush up on them.
      Hope this helps.

      (10 votes)

  • aharriso3365

    10 months agoPosted 10 months ago. Direct link to aharriso3365's post “How does this make any se...”

    How does this make any sense?

    (11 votes)

    • finley

      10 months agoPosted 10 months ago. Direct link to finley's post “I'm not sure”

      I'm not sure

      (5 votes)

  • cl04291

    6 years agoPosted 6 years ago. Direct link to cl04291's post “can a system of equations...”

    can a system of equations be be in multiple ways

    (9 votes)

    • Shawn

      6 years agoPosted 6 years ago. Direct link to Shawn's post “Yes, the two main ways in...”

      Yes, the two main ways include elimination and substitution. There are other methods as well including using graphs and matrix.
      This might help you: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-systems-topic/cc-8th-systems-solutions/v/inconsistent-systems-of-equations

      (5 votes)

Systems of equations with graphing (article) | Khan Academy (2024)
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