Y= 3x solution

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Topic D: Systems of linear equations and their solutions

Video transcript

Sours: https://www.khanacademy.org/math/8th-engage-ny/engage-8th-module-4/8th-module-4-topic-d/v/solving-systems-by-graphing-3

Which of the following is a solution to the equation y = 3x - 1: (a) (2, -3)      (b) (1, 2)      (c) (0, -1)      (d) (1/2, 0)

To find the solution to the eqution y = 3x - 1 with the options: (a) (2, -3)      (b) (1, 2)      (c) (0, -1)      (d) (1/2, 0), let us substitute the values of x and y and verify.

Answer: The solutions of y = 3x - 1 are (1, 2) and (0, -1) 

We will substitute x-coordinate and y-coordinate in the equation y = 3x - 1 to check if the given points are the solution of the equation.

Explanation:

(a) Substitute x = 2 and y = -3 in y = 3x - 1

-3 = 3 (2) - 1

-3 = 6 - 1

-3 = 5, which is not possible

So, (2, -3) is not a solution of y = 3x - 1

(b) Substitute x = 1 and y = 2 in y = 3x - 1

2 = 3 (1) - 1

2 = 3 - 1

2 = 2

This is true. So, (1, 2) is a solution of y = 3x - 1

(c) Substitute x = 0 and y = -1 in y = 3x - 1

-1 = 3 (0) - 1

-1 = 0 - 1

-1 = -1

This is true. So, (0, -1) is a solution of y = 3x - 1

(d) Substitute x = 1/2 and y = 0 in y = 3x - 1

0 = 3 (1/2) - 1

0 = 3/2 - 1

0 = 1/2, which is not possible.

So, (1/2, 0) is not a solution of y = 3x - 1

Therefore, the solutions of y = 3x - 1 are (1, 2) and (0, -1)

Sours: https://www.cuemath.com/questions/which-of-the-following-is-a-solution-to-the-equation-y=-x-1/
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What is the solution to the system of equations? y = 3x + 7 y = x – 9.

We will use the concept of linear equations in one variable in order to find the solution to the system of equations.

Answer: x = -8 and y = -17 are the solutions to the equations.

Let us see how we will use the concept of linear equations in one variable in order to find the solution to the system of equations.

Explanation:

We have been two linear equations that are y = 3x + 7 and y = x – 9.

Let us first solve for x.

For solving for x, let us first equate the value of y.

3x + 7 = x - 9

2x = -16

x = -8

If x = -8 then on substituting the value of x in any one of the equations we get the value of y.

Let us substitute the value of x in the equation y = x – 9 and on solving we get y = -17

You can use Cuemath's online Solving Linear Equations Calculator to verify the answer.

Hence, x = -8 and y = -17 are the solutions to the equations.

Sours: https://www.cuemath.com/questions/what-is-the-solution-of-the-system-of-equations-y-3x-7-y-x-9/

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