complete the following activity to solve simultaneous equations 2x+y=14 and 2x - 3y = -10
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Step-by-step explanation:
TO SOLVE
The simultaneous equations
2x + y = 14 and 2x - 3y = - 10
EVALUATION
Here the given simultaneous equations are
2x + y = 14 - - - - - (1)
2x - 3y = - 10 - - - - - - (2)
Equation 1 - Equation 2 gives
4y = 24
\implies \sf{y = 6}⟹y=6
From Equation 1 we get
\sf{2x + 6 = 14}2x+6=14
\implies \sf{2x = 8}⟹2x=8
\implies \sf{x = 4}⟹x=4
Hence the required solution is
x = 4 & y = 6
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