A. Y=x^2+3 B. Y=2/3x+6 C. Y=|x|+4 D .Y=2x-5 1. Identify the linear equations from the list. 2. State the constant rate of change
1 answer:
Answer:
Step-by-step explanation:
1. An equation is said to be linear if the variables have power not greater than 1.
Thus, the linear equations from the list are:
B. Y = x + 6
C. Y = |x| + 4
D .Y = 2x - 5
2. Comparing the equations with y = mx ± c, the constant rate of change for each linear equation are:
B.
C. 1
D. 2
3. The constant rate of change is the gradient (slope) of a linear equation. It describes the steepness of a line from the plot of points obtained from the linear equation.
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equation (1):
equation (2):
Multiplying equation (1) by 7, we get
Subtracting,
implies
Then
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Now Let we form the new equation:
Equation 2 is kept unchanged:
Equation (2):
Equation 1 is replaced with the sum of equation 1 and a multiple of equation 2:
Equation (1):
Now solve this two equations:
Multiply (1) by 7 and (2) by 8,
Subtracting, implies
Then x=2.
so the solution for the new system of equation is x=2, y=1.
This Show that the solution to the system of equations 8x − 5y = 11 and 7x − 8y = 6 is the same as the solution to the given system of equations