CHAPTER 7 SECTIONS 1-3 REVIEW & 6-6

7-1 SOLVING SYSTEMS BY GRAPHING

Rewrite each equation so that it reads y = mx + b Graph each line individually on the same

coordinate plane. Note where the two line intersect, that is the

solution to the system of equations. If the two lines do not intersect (they have the

same slope & different y-intersects) the lines are parallel they have NO SOLUTION.

If the lines are the same line (same slope & same y-intercept) they have INFINATELY MANY SOLUTIONS

Practice problems Page 377 5-12all, 15-22all, 29-32all

6-6 PARALLEL & PERPENDICULAR LINES Parallel lines has the same slopes and different y-

intercepts. If you are given a line an a set of point and asked to

find a line parallel to that line that contains those point in slope-intercept form, you must put it in point-slope form first. Then rearrange it into slope-incept form.

The product of the slope of perpendicular lines equals -1.

If you are given a line an a set of point and asked to find a line perpendicular to that line that contains those point in slope-intercept form, you must put it in point-slope form first. Then rearrange it into slope-incept form. Remember that the slope of a line perpendicular is the opposite reciprocal.

Practice problems Page 346 1-30all, 32-40all

7-2 SOLVING SYSTEMS USING SUBSTITUTION You can only use this method if you have a variable

with a coefficient of one. You only need to rearrange one of the equations so

that it equals the variable with the coefficient of one. If both equations equal the same variable then set

them equal to each other and solve for that variable. You must solve for both variables. Make sure you read the directions, if they read check

your solutions then put your x & y values back into your original equations and make sure they work.

Practice problems Page 384 5-16all, 19-21all, 26-31all, 34-39all

7-3 SOLVING SYSTEMS USING ELIMINATION

If you have two variables with the same coefficient and different signs then add them.

If you have two variables with the same coefficient and the same sign then subtract them.

If you have two variables with nothing in common then find the LCD and multiply the entire equation by the LCD and eliminate one of the variables and solve for the other one.

Practice problems Page 390 1-6all, 9-14all, 17-28all, 33-38all