SOLUTION: solve by using the addition method x-y=100 0.20x+0.06y=150

Question 4842: solve by using the addition method
x-y=100
0.20x+0.06y=150
Answer by Abbey(339) (Show Source): You can put this solution on YOUR website!
I think you mean solve by using the elimination method...
x -y = 100
.2x +.6y = 150
Multiply the second equation by -5
x- y = 100
-x+-3y =-750
Add the two equations to get
-4y=-650
Divide both sides by -4
y=162.5
Substitute 325 into first equation to get
x-162.5=100
Add 162.5 to both sides
x=262.5
check your answer with the second equation:
.2(262.5)+.6(162.5)=150
52.5+97.5=150 (True statement)
The solution is (262.5,162.5)

RELATED QUESTIONS
2x+y=0 x-2y=-10 Solve using the addition or substitution... (answered by stanbon)

Solve by factoring and using the principle of zero products.... (answered by unlockmath)

solve by the addition method: (x/4) - (y-3) = -4 and (x/8) + (y/6) =... (answered by mananth)

Solve by the addition method: (x/4) � (y/3) = � 4 and (x/8) + (y/6) = 0 (answered by Fombitz)

solve nonlinear equation by using substraction and addition method. 1) {x+2y=0 (x-1)^2 + (answered by ikleyn)

x y-2z=7, 2x-3y-2z=0, x-2y-3z=3 How to solve this linear equation by using: Addition... (answered by Fombitz,richwmiller)

Please solve x+3y=0 and 5x+y=14 using either the substitution or addition method!... (answered by Fombitz)

Solve using the addition method: 3x+4y=25... (answered by Alan3354)

Solve the system of equations using the elimination method: .08x + .06y = 144 x + y = (answered by mananth)