SOLUTION: Please help me solve the following equations X+3y=4 2x-y=8

Question 23690: Please help me solve the following equations
X+3y=4
2x-y=8
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
Look at my Lessons on Simultaneous equation, on this website... they help.

solution is:
x+3y=4 --eqn1
2x-y=8 --eqn2

scale up eqn1 by factor 2, giving:
2x+6y=8 --eqn1
2x-y=8 --eqn2

Now, the x-terms are the same digit...both a 2. Looking at the signs of these, they are the SSSSSSSSSame (both +), so we SSSSSSSSubtract the equations, to give:

5y = 0
so y = 0.

Hence, x+3y=4 becomes
x+3(0) = 4
x = 4

and CHECK in the other equation:
2x-y=8 becomes
2(4)-0 = 8
8=8 --> which is correct

jon.

RELATED QUESTIONS
PLEASE HELP solve the system linear equations. Solve for variables x and y: 4x-3y=4 (answered by Alan3354)

Please help me solve this equation: Solve the following system of equations by... (answered by Edwin McCravy)

please help me solve the following system of equations: 2x-y+z=4 x+y-z=2... (answered by khwang)

Could you please help me solve system of equations 5x + 3y =5(4-x) AND 2x - 5y = -(y (answered by checkley71)

Please help me solve the following for x, y, and z. and please show the work.... (answered by josgarithmetic,mananth,MathTherapy)

Could you please help me solve te following equations, I seemto be getting stuck. Thank... (answered by checkley71)

Can you please help me solve for the following problem: y=-2x+8 x+3y=9 Solve each... (answered by jojo14344)

Please help me solve the following system using Gaussian Elimination method: 2x+5y=14... (answered by Fombitz)

solve the following system of equations using substitution method: y=x+4 Y=2X+3 COULD... (answered by Alan3354,rfer)