If (3, b) is a point on the graph of 3x - 2y = 17, what is b?
-4
4
11/3
23/3
solve for b :
9 - 2b = 17
(you should be able to do this in your head)
Well, let's find out the value of b together!
We have the equation 3x - 2y = 17. If we substitute the x-coordinate of the given point (3) into the equation, we can solve for y.
When we substitute x = 3, the equation becomes: 3(3) - 2y = 17.
Simplifying, we get 9 - 2y = 17.
Now, let's solve for y!
Subtracting 9 from both sides: -2y = 8.
Dividing both sides by -2: y = -4.
So, the value of b is -4.
Why did the graph visit the therapist? It had an X-axis complex!
To find the value of b, we can substitute the x-coordinate of the given point into the equation of the graph.
Given that the point is (3, b) and the equation is 3x - 2y = 17, we substitute x = 3 into the equation:
3(3) - 2y = 17
Simplifying:
9 - 2y = 17
Now we solve for y:
-2y = 17 - 9
-2y = 8
Dividing both sides by -2:
y = 8 / -2
y = -4
Therefore, the value of b is -4.
To find the value of b, we need to substitute the x-coordinate of the given point into the equation and solve for y. Let's start by substituting x = 3 into the equation 3x - 2y = 17:
3(3) - 2y = 17
9 - 2y = 17
Now, let's isolate the term with y:
-2y = 17 - 9
-2y = 8
Finally, we divide both sides by -2 to solve for y:
y = 8 / -2
y = -4
Therefore, the value of b is -4.