Answer Z = -1/4
Step-by-step explanation:
-1/3+2z= -5/6
Add 1/3 to both sides
-1/3+2z+1/3 = -5/6+1/3
Simplify
2z=-1/2
Divide both sides by 2
2z/2 = -1/2/2
Simplify
z = -1/4
Answer:
(2, 4)
Step-by-step explanation:
To find the solution, set the equations equal to each other, then solve for x:
6x - 8 = -3x + 10
9x - 8 = 10
9x = 18
x = 2
Now, find the y value by plugging in 2 as x into one of the equations, and solve for y:
y = 6x - 8
y = 6(2) - 8
y = 12 - 8
y = 4
So, the solution as an ordered pair is (2, 4)
Answer:
x-intercept is 24 , y-intercept is -16
Step-by-step explanation:
* Lets explain how to solve the problem
- The x-intercept is the x-coordinate of the point of intersection
between the graph of the equation and the x-axis ⇒ (x , 0)
- To find the x-intercept substitute the value of y in the equation by 0
- The y-intercept is the y-coordinate of the point of intersection
between the graph of the equation and the y-axis ⇒ (0 , y)
- To find the y-intercept substitute the value of x in the equation by 0
* Lets solve the problem
∵ 2x - 3y = 48
- To find the x-intercept substitute y by 0
∴ 2x - 3(0) = 48
∴ 2x = 48
- Divide both sides by 2
∴ x = 24
∴ The graph intersects the x-axis at point (24 , 0)
* The x-intercept is 24
∵ 2x - 3y = 48
- To find the y-intercept substitute x by 0
∴ 2(0) - 3y = 48
∴ -3y = 48
- Divide both sides by -3
∴ y = -16
∴ The graph intersects the y-axis at point (0 , -16)
* The y-intercept is -16
