Question

2x+3y=12 and 4x+5y=22

Answer 1

SOLUTION

TO DETERMINE

To solve 2x+3y=12 and 4x+5y=22

EVALUATION

Here the given equations are

$\sf{2x + 3y = 12 \: \: \: - - - (1)}$

$\sf{4x + 5y = 22 \: \: \: - - - (2)}$

Now 2 × Equation 1 - Equation 2 gives

$\sf{(4x + 6y) - (4x + 5y )= 24 - 22 \: \: \: }$

$\sf{ \implies \: y = 2 }$

From Equation 1 we get

$\sf{2x + (3 \times 2) = 12 \: \: \: }$

$\sf{ \implies \: 2x + 6 = 12 \: \: \: }$

$\sf{ \implies \: 2x= 6 \: \: \: }$

$\sf{ \implies \: x= 3 \: \: \: }$

Hence the required solution is

x = 3 & y = 2

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