# Forms of linear equations Answers

Forms of linear equations

### Determine whether the ordered pair is a solution to the given system of linear equations. (5,3) x-y=2 x+y=8

Forms of linear equations

### Find the augmented matrix for the following system of linear equations: 5x+7y-36z=38 -8x-11y+57z=-60

Forms of linear equations

### Why do you think we should learn about quadratic equations? how are they different from linear equations, and what is the significance of quadratic equation in the business world. Make sure you provide very specific examples to help us understand your explanation.

Forms of linear equations

### Determine if (1,3) is a solution to the given system of linear equations. $$\displaystyle{5}{x}+{y}={8}$$ $$\displaystyle{x}+{2}{y}={5}$$

Forms of linear equations

### Linear equations of first order. Solve the initial-value problem on the specified interval $$\displaystyle{y}'-{3}{y}={e}^{{{2}{x}}}{o}{n}{\left(-\infty,+\infty\right)},\ \text{with}\ {y}={0}\ \text{when}\ {x}={0}$$.

Forms of linear equations

### Cramer’s Rule to solve (if possible) the system of linear equations. $$\displaystyle-{8}{x}_{{1}}+{7}{x}_{{2}}{\mid}-{10}{x}_{{3}}=-{151}$$ $$\displaystyle{12}{x}_{{1}}+{3}{x}_{{2}}-{5}{x}_{{3}}={86}$$ $$\displaystyle{15}{x}_{{1}}-{9}{x}_{{2}}+{2}{x}_{{3}}={187}$$

Forms of linear equations

### Find the augmented matrix for the following system of linear equations: 3x+7y-20z=-4 5x+12y-34z=-7

Forms of linear equations

### Use cramer's rule to solve $$x_1+2x_2=5$$ $$-x_1+x_2=1$$

Forms of linear equations

### Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations. $$\displaystyle{\left\lbrace\begin{matrix}{x}+{y}={0}\\{5}{x}-{2}{y}-{2}{z}={12}\\{2}{x}+{4}{y}+{z}={5}\end{matrix}\right.}$$

Forms of linear equations

### Write an exponential growth or decay function to model each situation. Then find the value of the function after the given amount of time. A new car is worth \$25,000, and its value decreases by 15% each year, 6 years.

Forms of linear equations

### Solve the linear system of equations. −5x − 2y = 1 2x − 11y = −83 (x, y) =

Forms of linear equations

### Differentiate the Gaussian elimination and LU- Factorization in solving system of linear equations.

Forms of linear equations

### Each equation in a system of linear equations has infinitely many ordered-pair solutions.Determine whether the statement makes sense or does not make sense, and explain your reasoning.

Forms of linear equations

### Cramer’s Rule to solve (if possible) the system of linear equations. $$\displaystyle{\frac{{{5}}}{{{6}}}}{x}_{{1}}-{x}_{{2}}=-{20}$$ $$\displaystyle{\frac{{{3}}}{{{4}}}}{x}_{{1}}-{\frac{{{7}}}{{{2}}}}{x}_{{2}}=-{51}$$

Forms of linear equations

### Describe three linear equations in three unknowns. Give an example.

Forms of linear equations

### Define Absolute system of Linear Equations?

Forms of linear equations

### For the given a system of linear equations 4x+y-5z=8 -2x+3y+z=12 3x-y+4z=5 Use matrix inversion to solve simultaneous equations.

Forms of linear equations

### Determine whether each of the given sets is a real linear space, if addition and multiplication by real scalars are defined in the usual way. For those that are not, tell which axioms fail to hold. All vectors (x, y, z) in $$V_3$$ whose components satisfy a system of three linear equations of the form: $$a_{11}x+a_{12}y+a_{13}z=0$$ $$a_{21}x+a_{22}y+a_{23}z=0$$ $$a_{31}x+a_{32}y+a_{33}z=0$$

Forms of linear equations