Equations of Lines and Solving Systems of Linear Equations ( Simultaneous Equations )

1. Find the slope of the line that passes through the points (2, 3) and (5, 8).

2. Find the equation of the line that passes through the points (3, -2) and (4, -2).

3. Find the equation, in standard form, with all integer coefficients, of the line perpendicular to x + 3y = 6 and passing through (-3, 5).

4. Solve the system of equations using the substitution method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
-3x + y = 1
5x + 2y = -4

5. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
-7x + y = 8
2x - y = 2

6. Solve the system of equations using the addition (elimination) method.
If the answer is a unique solution, present it as an ordered pair: (x, y). If not, specify whether the answer is "no solution" or "infinitely many solutions."
3x - 2y = -7
-9x + 6y = 21

Solution Summary

Equations of Lines and Solving Systems of Linear Equations are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.

... 2, y = -1 Two points on this line are (0 ... different methods of solving a system of linear simultaneous equations. ... attachment must be opened to view the solution. ...

... Basically chart the two lines and look ... each can be used effectively to solve simultaneous equations. ... of when methods of solving linear systems are appropriate. ...

... Solution: ... Problems including Polynomials, Fractions, Linear Equations, Simultaneous Linear Equations, Word Problems ... Slope and Intercept of Lines have been ...

... Graphical method This method gives a visual picture of the mechanics of solving a system... Here we draw the straight line graphs of the two equations by first ...

... Graphical method This method gives a visual picture of the mechanics of solving a system... Here we draw the straight-line graphs of the two equations by first ...

... The maximum peak velocity is also reduced and, because the line pressure is maintained above the vapour pressure ... 9. If possible, solve the equations for the ...

... 6. Solve the following system of simultaneous equations. ... X = 8, Y>=3, which indicates that the feasible region for constraint 3 is above the line. ...

... Studio to create a graph, then fit a straight line to the ... We solve Linear regression equations to get the values of a and b: ...Solving the simultaneous equations. ...

... The solution consists of answers to six questions involving ... variables by means of an equation that has ... The residuals are calculated from the regression line. ...