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