Answer:
The x-coordinate of the solution to this system of equations is 3
Step-by-step explanation:
Given the system of equations:
....[1]
....[2]
Add equation [1] and [2] we have;
Simplify:
Divide both sides by 3 we have;
x = 3
Substitute in [1] we have;
3+y = 3
⇒y = 0
Solution for the given system of equation is= (3, 0)
Therefore, the x-coordinate of the solution to this system of equations is 3
Answer:
Proportion states that the two equal ratios or fractions are equal.
Use conversion:
1 m = 100 cm
As per the statement:
The actual width ( w) of a regulation soccer field is 90 meters (m), and the actual length is 120 meters (m
⇒Actual length = 120 m and Actual width = 90 m
It is also given that:
A coach has drawn a scale model of the field on a blackboard. If the longest side of his drawing is 18 cm.
⇒ Drawing length = 18 cm = 0.18 m
By definition of proportion:
Substitute the given values we have;
By cross multiply we have;
Simplify:
Divide both sides by 120 we get;
m
Or
cm
Therefore, the other side of the drawing width is 13.5 cm