SOLUTION: Solve the linear system: 2x + 7y = 41, 2y = 3x + 1
Algebra.Com
Question 210963: Solve the linear system: 2x + 7y = 41, 2y = 3x + 1
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the linear system: 2x + 7y = 41, 2y = 3x + 1
;
We can rearrange this to use elimination
:
+2x + 7y = 41
-3x + 2y = 1
:
Multiply 1st equation by 3, multiply the 2nd equation by 2
+6x + 21y = 123
-6x + 4y = 2
---------------addition eliminates x, find y
0 + 25y = 125
y =
y = 5
:
Find x using the 1st original equation
2x + 7(5) = 41,
2x + 35 = 41
2x = 41 - 35
x =
x = 3
;
:
Check solution in 2nd original equation:
2(5) = 3(3) + 1
RELATED QUESTIONS
Solve the linear system: 2x + 7y = 41, 2y = 3x +... (answered by checkley77)
1.Solve the Linear System:3x-2y=-19,2y=2x+16.
(answered by richwmiller)
Solve the system of equations:
9x + 7y = 127 and 3x + 2y =... (answered by Alan3354)
Solve the system of linear equations by elimination.
2x+7y=1... (answered by ikleyn,MathTherapy)
solve the linear system: y=2x+2 equ 1 x+3y=41... (answered by mananth)
Solve the linear system:4x+7y=-9... (answered by MathLover1,greenestamps)
Use ELIMINATION to solve each SYSTEM!?
1.) 2x+y=41; 2x+5y=13
____________________
(answered by ankor@dixie-net.com)
What are the steps for solving this problem:
Solve the linear system of equations-... (answered by jim_thompson5910)
Can I please get some assistance for this problem? Thank you.
Solve the following... (answered by Edwin McCravy,stanbon)