Answer:
In a system, the substitution method is one of the 3 main ways to solve a system and can be very efficient at times.
<u>Skills needed: Systems, Algebra</u>
Step-by-step explanation:
1) Let's say we are given two equations below:
We can use substitution here by substituting in for 
in the second equation. This means we put in 
for in the 2nd equation so we only have 
variables in the equation, allowing us to solve for .
2) Solving it out:
We essentially substitute in that value as seen in step 1. Steps 2 and 3 are just simplifying the left side and allowing for us to solve. Step 4 is where we divide by -16 on both sides to solve for x. Step 5 and 6 show us solving for y using the value for x. We get 
Answer:
y= 19.5 x=33
Step-by-step explanation:
-x + 27= -6
(subtract 27 on both sides)
-x= -33
(divide by negative 1 on both sides)
x= 33
(substitute x into the first equation)
y= 1/2x + 3
y= 1/2(33) +3
y= 16.5 +3
y= 19.5
hope this helps :))
Answer:
32 times square root of 3. is the perimeter, area is 48 times square root of 3
Step-by-step explanation:
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
