Solve by the method of substitution step by stepIN DIGITAL FORMATal 3x-2y=52x-3y = 15)bx-4y=2]2x-5y = 7

Given,3x-2y=52x-3y=15Taking,3x-2y=5Re-arranging for x we have,x=5+2y3Substituting x in 2x-3y=15 we…

Answered: Solve by the method of substitution…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Solve by the method of substitution step by step
IN DIGITAL FORMAT
al 3x-2y=5
2x-3y = 15)
bx-4y=2]
2x-5y = 7

Expert Solution

Step 1

$G i v e n, 3 x - 2 y = 5 2 x - 3 y = 15 T a k i n g, 3 x - 2 y = 5 R e - a r r a n g i n g f o r x w e h a v e, x = \frac{5 + 2 y}{3} S u b s t i t u t i n g x i n 2 x - 3 y = 15 w e h v a e, 2 (\frac{5 + 2 y}{3}) - 3 y = 15 \frac{10 + 4 y}{3} - 3 y = 15 \frac{10 + 4 y - 9 y}{3} = 15 10 - 5 y = 45 5 y = - 35 y = - 7 S u b s t i t u t i n g y i n t h e e q u a t i o n o f x w e h a v e, x = \frac{5 + 2 (- 7)}{3} = \frac{- 9}{3} = - 3 T h e r e f o r e, T h e r e q u i r e d s o l u t i o n i s, (x, y) = (- 3, - 7)$