Answer: Solve 2y-5x-30 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y-5x-30 = 0 and calculate its properties
Step-by-step explanation:
Answer:
x = 3, y = 15
Step-by-step explanation:
Given the 2 equations
y + 5x = 30 → (1)
2y = 5x + 15 → (2)
Subtract 5x from both sides in (1)
y = 30 - 5x → (3)
Substitute y = 30 - 5x into (2)
2(30 - 5x) = 5x + 15 ← distribute left side
60 - 10x = 5x + 15 ( subtract 5x from both sides )
60 - 15x = 15 ( subtract 60 from both sides )
- 15x = - 45 ( divide both sides by - 15 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 30 - 5(3) = 30 - 15 = 15
Thus solution is x = 3, y = 15
