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Determine if the given ordered pair is a solution to the equation:
4. -3x + y = -2 (0,2)
No, as -3*0 + 2 =2.
6. 2x - y = -3 (-2, -1)
Yes, as 2*(-2) -(-1)=-4+1=-3.
Find the specified values:
8. 6x - 3y = 12 x-intercept & y-intercept
To get y-intercept, we let x=0. From 6x - 3y = 12, we have
6*0 - 3y = 12
So,
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Solution Summary
Linear equations, slope, intercept and ordered pairs are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.
For each of the following ordinairy differential equations, indicate its order, whether it is linear or nonlinear, and whether it is autonomous or non-autonomous.
a) df/dx +f^2=0
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1. Given the equation below, find f(x) where y = f(x).
8y(6x - 7) - 12x(4y + 3) + 265 - 5(3x - y + 2) = 0.
2. Solve these linearequations for x, y, and z.
3x + 5y - 2z = 20; 4x - 10y -z = -25; x + y -z = 5
3. The value of y in Question 2 lies in the ran
The techniques for solving linearequations and linear inequalities are similar, yet different. Explain and give an example of both a linear equation and a linear inequality that demonstrates this difference.
1.) Solve and check the linear equation.
5x - 5 = 30
A) {30}
B) {34}
C) {11}
D) {7}
2.) Solve and check th
1. Plot the graph of the equations 3x-8y=5 and 4x-2y=11 and interpret the result.
2. Plot the graph of the equations 4x-6y=2 and 2x-3y=1 and interpret the result.
3. Plot the graph of the equations 10x-4y=3 and 5x-2y=6 and interpret the result.
Show all graphs.
1. You are given the following system of linearequations:
3x - 2y + z = 2
-x + y = 3
-2y + 6 = -1
Provide a coefficient matrix corresponding to the system of linearequations.
What is the inverse of this matrix?
What is the transpose of this matrix?
Find the determinant for this matrix.
Calculate the following
1) Solve by the addition method.
3x + 2y = 14
3x - 2y = 10
2) Solve by the addition method
5x = 6y + 50
2y = 8 - 3x
3) Solve. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.
4) Can't type fractions, so
Write three quadratic equations, with a, b, and c (coefficients of x2, x, and the constant) as:
Integers
Rational numbers
Irrational numbers
Do you find any striking difference between the graphical representation of quadratic equations and linearequations? Explain the differences and comment on the responses posted
