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Question Number 29259 by Abdul Gani last updated on 06/Feb/18

$$solvetheequation$$$$2x+3y=5$$$$3x+4y=4$$

Answered by Joel578 last updated on 06/Feb/18

$$2x+3y=5...\left(i\right)$$$$3x+4y=4...\left(ii\right)$$$$\mathrm{Multiply}\mathrm{equation}\left(i\right)\mathrm{with}3\mathrm{and}\mathrm{equation}\left(ii\right)\mathrm{with}2$$$$\Rightarrow 6x+9y=15$$$$6x+8y=8$$$$\mathrm{Eliminate}\mathrm{both}\mathrm{equations}$$$$\Rightarrow y=7$$$$\mathrm{Substitute}y=7\mathrm{into}\left(i\right)\mathrm{or}\left(ii\right)\mathrm{gives}\mathrm{you}x=-8$$

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