Question

Draw the graph of each of the equations 2x – 3y + 5 = 0 and 5x + 4y + 1 = 0 and find the coordinates of the point where the lines meet.

Answer 1

Step-by-step explanation:

$2x - 3y + 5 = 0 \\ x = 5 + 3y \div 2 \\ let \: y = - 1 \: x = 5 + 3 \times - 1 \div 2 = 5 - 3 \div 2 = 2 \div 2 = 1.$

$5x + 4y + 1 = 0 \\ x = - 1 - 4y \div 5 \\ let \: y = 1 \: x = - 1 - 4 \times 1 = - 1 - 4 \div 5 = - 5 \div 5 = - 1$

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