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2 answers:
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Answer:
Expression 2b+b and 3b have same values for all values of b.
Step-by-step explanation:
Given the two expression and
and values of b as 1, 2 and 3.
Consider first expression that is, .
Substituting the value of ,
....1
Substituting the value of ,
....2
Substituting the value of ,
....3
Consider second expression that is, .
Substituting the value of ,
....4
Substituting the value of ,
....5
Substituting the value of ,
....6
For value of b=1, equation 1 and equation 4 are same, for value of b=2, equation 2 and equation 5 are same and for value of b=3 equation 3 and equation 6 are same.
Therefore both expression are same for all values of b.
Answer:
The solution of the system of equations is (11, 12)
Step-by-step explanation:
∵ The price of each student ticket is $x
∵ The price of each adult ticket is $y
∵ They sold 3 student tickets and 3 adult tickets for a total of $69
∴ 3x + 3y = 69 ⇒ (1)
∵ they sold 5 student tickets and 3 adults tickets for a total of $91
∴ 5x + 3y = 91 ⇒ (2)
Let us solve the system of equations using the elimination method
→ Subtract equation (1) from equation (2)
∵ (5x - 3x) + (3y - 3y) = (91 - 69)
∴ 2x + 0 = 22
∴ 2x = 22
→ Divide both sides by 2 to find x
∵
∴ x = 11
→ Substitute the value of x in equation (1) or (2) to find y
∵ 3(11) + 3y = 69
∴ 33 + 3y = 69
→ Subtract 33 from both sides
∵ 33 - 33 + 3y = 69 - 33
∴ 3y = 36
→ Divide both sides by 3
∵
∴ y = 12
∴ The solution of the system of equations is (11, 12)