Solve equation for y:
6y-3x=12
and then what will be the answer (-2) for x to graph a function form
I got the same answer like you thank you , but I am not sure the answer for "y" when x is "-2". Please and thanks again
6y-3x=12
6y = 3x + 12
y = 1/2 x + 2
Now evaluate y when x = -2.
y = 1/2 (-2) + 2 = -1 + 2 = 1
To solve the equation 6y - 3x = 12 for y, we can isolate the variable y on one side of the equation. Here's the step-by-step solution:
Step 1: Move the term with x to the other side of the equation by adding 3x to both sides:
6y - 3x + 3x = 12 + 3x
Simplifying:
6y = 3x + 12
Step 2: Divide both sides of the equation by 6 to solve for y:
(6y)/6 = (3x + 12)/6
Simplifying:
y = (1/2)x + 2
Now, we have solved the equation for y.
Next, if you have the value of x as -2 and want to graph a function, you can substitute that value into the equation we just solved for y:
y = (1/2)x + 2
y = (1/2)(-2) + 2
y = -1 + 2
y = 1
So, when x = -2, the corresponding y-value is 1. This gives us a point (-2, 1) on the graph.
To graph this function, you can plot the point (-2, 1) on the Cartesian plane.