Question

Solve the system -3y=-2x-7
-4x=-6y-10

Answer 1

first I would get these both in standard form

-3y = -2x -7 -4x = -6y -10
+2x +2x +6y +6y

2x -3y = -7 -4x + 6y = -10 now stack em up

2x - 3y = -7 you with me?
-4x + 6y = -10

Answer 2

we can eliminate the x's by changing the coefficient from 2 to 4 by multiplying the equation times 2

2(2x - 3y = -7 ) = 4x - 6y = -14


now add the straight down

4x - 6y = -14
-4x + 6y = -10
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0 + 0 = -28
0 = -28 if both variables are eliminated and the statement is
true then the answer is : infinite solutions, the lines are collinear
false then the answer is: now solution, the lines are parallel

in this case 0 does not equal -28, so there are no solutions

any questions?