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Solve the system of equations using the substitution method.
1 answer:
The solution of system of equations is: x = 1.6 and y = 1.2
Step-by-step explanation:
Given equations are:
Putting in equation 2
Putting x = 1.6 in equation 2
Dividing both sides by -3
Hence,
The solution of system of equations is: x = 1.6 and y = 1.2
Keywords: Linear equations, variables
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Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;
g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;
By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.