SAT Math - System of Equations

This video explains how to approach SAT problems that involve solving a system of equations. Three different methods to solving simultaneous equations are discussed (graphical method, substitution method, and the elimination method). Seven problems from the Official SAT Practice tests from the College Board are solved and discussed:

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1- Practice Test 9, Section 3, Problem 1: This problem is demonstrated using both the elimination method and the substitution method.

2- Practice Test 7, Section 4, Problem 35: This problem is solved using the substitution method and two possible solutions are found (answer only requires one of the two answers)

3- Practice Test 6, Section 4, Problem 11: This problem is solved by elimination to find the value of x and then the value is substituted into one of the equations to find the value of y.

4- Practice Test 4, Section 3, Problem 19: This problem is solved by elimination but requires multiplying the first equation by a constant first in order for x to be eliminated to solve for y. The value of y is then substituted into one of the equations to solve for x.

5- Practice Test 10, Section 3, Problem 15: This problem finds the value of a constant that makes the system have no solution. A system will have no solution when both variables are eliminated or another way to look at it is that the equations will both have the same slope.

6- Practice Test 10, Section 3, Problem 19: This problem is an example of solving graphically by finding the point that is on all of the equations that are part of the system.

7- Practice Test 9, Section 3, Problem 9: This problem demonstrates that we do not always need to solve for x and y depending on what the equation is looking for.


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[natesamadhi]

this channel seriously needs more views. way more concise & well-presented than most others

[brightonsikarskie]

14:17 you made a mistake, but it doesnt change the answer anyways. y = (-A/2)x + 2 not y = (-A/2)x + 4