# Get help with different forms of linear equations

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Forms of linear equations

### The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution.

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y.x,y. or x,y,z.x,y,z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. $$\begin{bmatrix}1&0&0&0&1&0\\4&3&0&4&2&0 \end{bmatrix}$$

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y.x,y. or x,y,z.x,y,z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. $$\begin{bmatrix}1&0&0 \\1&-4&0\end{bmatrix}$$

Forms of linear equations

### find an equation of the form y=ax^2 + bx + c, whose graph passess through the points (2, 3), (-2, 7) and (1, -2). You must use a system of linear equations in three variables for this problem.

Forms of linear equations

### Solve the system of linear equations using the substitution method. x+y−z=4 3x+2y+4z=17 −x+5y+z=8

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. ⎡⎣⎢100010010430230⎤⎦⎥ ​

Forms of linear equations

### Do the equations 4x−3y=54x−3y=5 and 7y+2x=−87y+2x=−8 form a system of linear equations? Explain

Forms of linear equations

### Determine whether each statement makes sense or does not make sense, and explain your reasoning. A system of linear equations in three variables, x, y, and z cannot contain an equation in the form y = mx + b.

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x,y.x,y. or x,y,z.x,y,z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 2 −1 0 1 −4 −2 0 0 0 0 ]

Forms of linear equations

### Do the equations 5y−2x=18 and 6x=−4y−10 form a system of linear equations? Explain.

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given.Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or x1,x2,x3,x4 as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. [ 1 0 4 4 0 1 3 2 0 0 0 0 ]

Forms of linear equations

### The reduced row echelon form of the augmented matrix of a system of three linear equations in three variables must be of the form ⎡⎣100010001abc⎤⎦ ⎤ where a, b, c, are real numbers. Justify your answer.

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or x1,x2,x3,x4x as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. ⎡⎣⎢100010000002⎤⎦⎥

Forms of linear equations

### The reduced row echelon form of a system of linear equations is given. Write the system of equations corresponding to the given matrix. Use x, y. or x, y, z. or x1,x2,x3,x4x ​ as variables. Determine whether the system is consistent or inconsistent. If it is consistent, give the solution. ⎡⎣⎢100010001023120⎤⎦⎥

Forms of linear equations

### Find the linear equation in slope-intercept form which passes through the point (0. -12) and slope = 6.

Forms of linear equations

### Find the linear approximation of the function $$\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{4}-{x}}}$$ at a=0 Use L(x) to approximate the numbers sqrt (3.9) and sqrt (3.99) Round to four decimal places

Forms of linear equations

### Determine the equation of the line in slope-intercept form which passes through the point (7. -3) and has the slope $$\displaystyle-\frac{{4}}{{3}}$$.

Forms of linear equations

### Find the linear equation in standard form which passes through the points (-2. 11) and (-2. -6). Simplify the answer.

Forms of linear equations