So these are our two equations:
Before we can use elimination, subtract y on both sides of the first equation:
Now we are able to use elimination. To eliminate the y variable, add the two equations together to get . From here we can solve for x.
For this, just divide both sides by 3 and your first answer will be
Now that we have the value of x, substitute it into either equation to solve for y:
<u>In short, x = 3 and y = 6.</u>
Answer: SAS similarity theorem
<u>Proportional relationship</u>:
<u>insert values</u>
<u>simplify</u>
L.H.S = R.H.S
The triangles are congruent and follows the rule SAS similarity theorem.
The triangles has/starts from the same angle, corner (A).
46.75 I believe sorry if I’m wrong tho
Answer:
The number is = 16
Step-by-step explanation:
Given:
Twice the sum of a number and 2 is equal to three times the difference of the number and 4.
To find the number.
Solution:
Let the number be =
The equation can be now written as:
Solving for
Using distribution:
Adding 12 both sides.
subtracting from both sides.
∴
Thus, the number is = 16
Answer:
Y = 40
Step-by-step explanation:
First find the measure of V
The sum of the angles of a triangle equal 180
U+V+W =180
70+Y+70 =180
140+U =180
U = 180-140
U = 40
Since the triangles are similar
V = Y
40 = Y