This 2 x 2 (two equations, two variables) system of equations can be solved by either the elimination or substitution methods. Since it takes one step to write one variable for another, substitution gets the call here.
Call x + y = 12 equation #1
Call 20x + 35y = 315 equation #2
We solve equation #1 for y (you can do it for x too).
x + y = 12
y = 12 - x.
Now we take that solved equation and put it into #2. We solve it for x.
20x + 35 (12 - x) = 315
20x + 420 - 35x = 315
-15x + 420 = 315
-15x = -105
x = 7
Now we take that x = 7 and put it back into an ORIGINAL equation. You can use either one, but equation #1 works well here.
x + y = 12
7 + y = 12
y = 5
Therefore the solution of the system is x = y and y = 5, or (7, 5).
Answer:
slope = 2
Step-by-step explanation:
to calculate the slope m use the gradient formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁) = (1, - 5) and (x₂, y₂) = (4, 1 )
m =
=
= 2
Answer:
1/7
Step-by-step explanation:
Alternative Form: 0.142857, 7^-1
Answer:
The value of x is 30 degrees.
Step-by-step explanation:
We know that angle 1 is 60 degrees, and that angle two is a right angle (meaning 90 degrees.) 60+90 is equal to 150 degrees. 180 degrees - 150 degrees is equal to 30 degrees. I hope this helps! :)
Answer:
ASA
Step-by-step explanation:
The triangles are congruent by ASA.