Solving systems of linear equations graphing quizlet

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Terms in this set (5)

(-4, -1)

Solve the system by graphing:

y = -1/2x - 3
y = x + 3

(-4, 4)

Solve the system by graphing:

x = -4
y = -3/2x - 2

(-3, 3)

Solve the system by graphing:

y = 3
y = -5/3x - 2

No Solution

Solve the system by graphing:

x - 3y = -12
y = 1/3x + 1

Infinitely Many Solutions

Solve the system by graphing:

-8x - 4y = -16
-4x - 2y = -8

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Verified questions

LINEAR ALGEBRA

Create a symmetric matrix by substituting appropriate numbers for the x's. (b) [1 x x x, 3 1 x x, 7 -8 0 x, 2 -3 9 0]

Verified answer

LINEAR ALGEBRA

(a) for what values of h is $\mathbf{v}_{3}$ is Span $\left\{\mathbf{v}_{1}, \mathbf{v}_{2}\right\}$, and (b) for what values of h is $\left\{\mathbf{v}_{1}, \mathbf{v}_{2}, \mathbf{v}_{3}\right\}$ linearly dependent? Justify each answer. $$ \mathbf{v}_{1}=\left[ \begin{array}{r}{1} \\ {-3} \\ {2}\end{array}\right], \mathbf{v}_{2}=\left[ \begin{array}{r}{-3} \\ {9} \\ {-6}\end{array}\right], \mathbf{v}_{3}=\left[ \begin{array}{r}{5} \\ {-7} \\ {h}\end{array}\right] $$

Verified answer

LINEAR ALGEBRA

Make a change of variable, x=Py, that transforms the quadratic form $x_{1}^{2}+10 x_{1} x_{2}+x_{2}^{2}$ into a quadratic form with no cross-product term. Give P and the new quadratic form.

Verified answer

LINEAR ALGEBRA

In each part, determine whether the matrices are linearly independent or dependent. (a) [1 0, 1 2] [1 2, 2 1] [0 1, 2 1] in M22

Verified answer

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How do you solve a linear system by graphing?

To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.

What is the solution to the system of linear equations quizlet?

The solution to a system of linear equations is the point at which the lines representing the linear equations intersect. Two lines in the xy-plane CAN INTERSECT ONCE never completely overlapping. 2. If the two lines have the same slope but different y-intercepts, then they are parallel lines and will NEVER INTERSECT.

What is the solution to the system of equations 2x y 7 y 2x 3?

Summary: The system of linear equations 2x - y = 7, and y = 2x + 3, has no solution.

How many solutions does this linear system have y 2x 5 8x 4y =

Summary: The linear system y = 2x - 5 and -8x - 4y = -20 has only one solution.