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Hi there! Have questions about your homework? At Brainly, there are 60 million students who want to help each other learn. Questions are usually answered in less than 10 minutes. Try it for yourself by posting a question! :D

In a bookstore, pencils and pens cost ddifferent amounts.two pencils and 3 pens cost 50pesos.the total cost of 3 pencils and and 2 pens is 45 pesos. what

Let 'x' be the cost of 1 pencil let 'y' be the cost of 1 pen ------------- two pencils & 3 pens is 50 2x + 3y = 50 -equation 1 3 pencils & 2pens is 45 3x + 2y = 45 -equation 2 --------------- multiply equation 1 with 2 and equation 2 with 3 (2x + 3y = 50) × 2 4x + 6y = 100 -equation 1' (3x + 2y = 45) × 3 9x + 6y = 135 -equation 2' ------------ subtract equation 1 from equation 2 9x + 6y = 135 - 4x + 6y = 100 5x = 35 x = 7 therefore one pencil costs 7 pesos NOTE: There's no need to get the value of y since you are only asked of the cost of 1 pencil which is x