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Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the...

Further Mathematics
WAEC 2020

Given that 2x + 3y - 10 and 3x = 2y - 11, calculate the value of (x - y). 

  • A. 5
  • B. 3
  • C. - 3
  • D. - 5
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Correct Answer: Option D
Explanation

2x + 3y = 10 .......x2

3x - 2y = -11 ........x3

4x + 6y = 20 

9x - 6y = -33

\(\overline{\frac{13x}{13} = \frac{-13}{13}}\), x = 1

from 

2x + 3y = 10

2(-1) + 3y = 10

-2 + 3y = 10

3y = 10 + 2

\(\frac{3y}{3} = \frac{12}{3}\), y = 4

x - y = -1 - 4

= -5


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709