Question

X - 2y = 5 -3x + 3y = 7 solve the following system of equations

Answer 1

Answer: (⁻ ²⁹/₃ , ⁻ ²²/₃ )

Explanation:

let x - 2y = 5 be [a] & -3x + 3y = 7 be [b]

First, lets make x the subject of [a] and then substitute [a*] into [b] and solve for y

x - 2y = 5 [a]

x = 5 + 2y [a*]

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-3 (5 + 2y) + 3y = 7

- 15 - 6y + 3y = 7

-3y = 22

y = - ²²/₃

Now, since y = - ²²/₃, we can substitute for y in [a*]

⇒ x = 5 + 2(- ²²/₃)

x = 5 + ⁻⁴⁴/₃

x = ⁻ ²⁹/₃

∴ the solution for the system of equations is x = ⁻ ²⁹/₃ , y = - ²²/₃ OR (⁻ ²⁹/₃ , ⁻ ²²/₃ )