Question B.2: Solve the two simultaneous equations (1) 5x + y = -8 (2) 2x ...
Solve the two simultaneous equations
(1) 5x + y = -8
(2) 2x – 2y = 4
Solve Equation (2) for x:
(3) x = y + 2
Substitute Equation (3) into Equation (1):
5(y + 2) + y = -8
6y = -18
y = -3
Use Equation (3) to find x:
x = y + 2 = -1
Alternative Solution
Multiply each term in Equation (1) by 2: Add Equation (2):
\begin{aligned}10 x+2 y & =-16 \\2 x-2 y & =4 \\ \hline 12 x \quad & =-12 \end{aligned}Solve for x:
x = -1
Use Equation (3) to find y:
y = x – 2 = -3
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