x = 7 and x = –7.
Solution:
Given data:
and
To find the solutions when f(x) = 64.
Both are equations of f(x), so equate the given equations, we get
To isolate the constant term subtract 15 from both sides.
49 can be written as 7².
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
Jenna has $43 and Heidi has $17.
Step-by-step explanation:
Total amount = $60
Let,
Amount of Jenna = x
Amount of Heidi = y
According to given statement;
x+y=60 Eqn 1
x=2y+9 Eqn 2
Putting value of Eqn 2 in Eqn 1;
Dividing both sides by 3,
Putting y=17 in Eqn 2
Jenna has $43 and Heidi has $17.
Keywords: linear equations, substitution method
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