In this lesson, we will learn how to solve simultaneous equations graphically by plotting them and identifying their point of intersection.
Licence
This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.
Fill in the gaps: We can use ____ to solve simultaneous equations.
Correct answer: Graphs
Graphs
Knowledge
Numbers
Terms
Q2.
What are the coordinates of the points of intersection for y = x + 5 and y = -2x - 1?
(-2, -3)
Correct answer: (-2, 3)
(-2, 3)
(2, -3)
(2, 3)
Q3.
Use a graph to solve y = x + 5 and y = -2x - 1 simultaneously.
x = -2, y = -3
Correct answer: x = -2, y = 3
x = -2, y = 3
x = 2, y = -3
x = 2, y = 3
Q4.
Create equations for the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".
x + y = 3, 2x + y = -1
Correct answer: x + y = 3, 3x + y = -1
x + y = 3, 3x + y = -1
y = -x + 3, y = 3x - 1
y = x + 3, y = 3x - 1
Q5.
Find the values of x and y that are true for both of the following statements: "I'm thinking of 2 numbers that have a sum of 3", "I'm thinking of 2 numbers. I triple the first number and add the second to get -1".
x = -2, y = -5
Correct answer: x = -2, y = 5
x = -2, y = 5
x = 2, y = -5
x = 2, y = 5
Lesson appears in
UnitMaths / Solving linear simultaneous equations graphically