SOLUTION: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c {6x + 5y= 2 x − 3y= 8 (x, y)

Algebra ->  Inequalities -> SOLUTION: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c {6x + 5y= 2 x − 3y= 8 (x, y)      Log On


   

Question 1131010: Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c
{6x + 5y= 2
x − 3y= 8
(x, y) =
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE linear system by SUBSTITUTION
Solve:
+system%28+%0D%0A++++6%5Cx+%2B+5%5Cy+=+2%2C%0D%0A++++1%5Cx+%2B+-3%5Cy+=+8+%29%0D%0A++We'll use substitution. After moving 5*y to the right, we get:
6%2Ax+=+2+-+5%2Ay, or x+=+2%2F6+-+5%2Ay%2F6. Substitute that
into another equation:
1%2A%282%2F6+-+5%2Ay%2F6%29+%2B+-3%5Cy+=+8 and simplify: So, we know that y=-2. Since x+=+2%2F6+-+5%2Ay%2F6, x=2.

Answer: system%28+x=2%2C+y=-2+%29.



(x,y) =(2,-2)

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the system of equations by the substitution method. (If the system is dependent, let y = c and enter a general solution in terms of c
{6x + 5y= 2
x − 3y= 8
(x, y) =
NEVER, EVER do SUBSTITUTION the way that woman tells you to! I keep pointing this out and she continues to solve these problems

in the MOST UNORTHODOX manner! Maybe she doesn't know any better but why can't she try to learn? Maybe she just doesn't want to!!

Does she really think this method is helpful to a student who's doing the SAT and who has an average 1.25 minutes and 1.5 minutes,

respectively, to answer each question on the NO CALC and CALC sections? 



6x + 5y = 2 ------- eq (i)

x - 3y = 8______x = 8 + 3y ------ eq (ii)

Substitute 8 + 3y for x in eq (i), and solve for y.

Substitute the value for y in either eq (i) or (ii) to get the value for x.

That's ALL!! Nothing more, NOTHING less!!