1. y = 2/3x - 5
2. 4x - 6y = 30
Divide 2. by 2
3. 2x - 3y = 15
Substitute 1. into 3.
4. 2x - 3(2/3x - 5) = 15
5. 2x - 2x + 15 = 15
6. 15 = 15
False. There are an infinite number of solutions.
The number of kids in your group is 12.
Step-by-step explanation:
Given,
Number of people = 20
Cost of each kid ticket = $4
Cost of each adult ticket = $6
Total spent = $96
Let,
x be the number of kids ticket
y be the number of adult ticket
According to given statement;
x+y=20 Eqn 1
4x+6y=96 Eqn 2
Multiplying Eqn 1 by 4

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 2

Putting y=8 in Eqn 1

The number of kids in your group is 12.
Keywords: linear equation, elimination method
Learn more about elimination method at:
#LearnwithBrainly
Answer:
z = 1
Step-by-step explanation:
See the diagram of the triangle attached to this question.
We know the property of angles of a triangle as if we sum any two interior angles then we will get the opposite exterior angle.
Hence,
42z + 37 = 40z + (26z + 13)
⇒ 42z + 37 = 66z + 13
⇒ 37 - 13 = 66z - 42z
⇒ 24 = 24z
⇒ z = 1 (Answer)