Question

. Find three solutions of the equation x+ 2y - 6 = 0.

Answer 1

Answer: (0,3) ; (6,0) ; (2,2)

Step-by-step explanation:

x+ 2y - 6 = 0

= x+2y=6

put any value of x and find y OR put the value of y and find x

eg-take x as 0

x+2y=6

0+2y=6

2y=6

y=3

therefore (0,3)

Answer 2

The standard form of an equation is Ax + By = C.

so, x+2y-6=0 would be x = 2y = 6 (just add 6 to both sides).

Assuming you want to find the x and y intercepts in standard form:

Check to make sure it is a linear equation. --> x+2y-6=0

check the exponent on the x. --> it is 1

check the exponent on the y. --> it is 1

Since they are both 1, it is a linear equation.

Next we want to find the x-intercept. To do this we set the y value to zero. -->

x + 2(0) - 6 = 0

x + 0 - 6 = 0

x - 6 = 0

x - 6 +6 = 0 + 6 (add 6 to both sides)

x = 6

The x-intercept is the point (6, 0)

On a graph, plot this point on the x axis.

Next we want to find the y-intercept. To do this we will set the x value to zero. -->

0 + 2y - 6 = 0

2y - 6 = 0

2y - 6 + 6 = 0 + 6 (add 6 to both sides)

2y = 6

2y/2 = 6/2 (divide both sides by 2)

y = 3

The y-intercept is the point (0, 3)

On the same graph, plot this point on the y-axis

Connect the two points with a line. This is the line for the equation x+2y-6=0

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