5v=11+3u

2u+7v=3
Solve with elimination method

3 answers

Subtract 2u from both sides:
7v = 3 - 2u

Substitute 7v for 3 - 2u in the first equation:
5v = 11 + 3u
7v = 3 - 2u

Multiply both sides of the first equation by 7:
35v = 77 + 21u

Subtract 35v from both sides:
77 + 21u - 35v = 0

Substitute 7v for 3 - 2u in the second equation:
77 + 21u - 35(3 - 2u) = 0

Simplify:
77 + 21u - 105 + 70u = 0

Combine like terms:
77 - 35 + 91u = 0

Subtract 77 from both sides:
-35 + 91u = -77

Divide both sides by 91:
u = -77/91
2x-5y=-6
4x-3y=-12
Use elimination method
from the first
3u - 5v = -11
double this
6u - 10v = -22
triple the 2ns
6u + 21v = 9
.... subtract
32v = 31
v = 1
sub back into 2u+7v=3
2u + 7 = 3
2u = -4
u = -2

as was expected, the AI got it wrong
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