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Solve the simultaneous equations 2x - 3y = -10, 1...

Solve the simultaneous equations 2x - 3y = -10, 10x - 6y = -5

A.

x = 2 $\frac{1}{2}$ , y = 5

B.

x = $\frac{1}{2}$ , y = $\frac{3}{2}$

C.

x = 2 $\frac{1}{4}$ , y = 3 $\frac{1}{2}$

D.

x = 2 $\frac{1}{3}$ , y = 3 $\frac{1}{2}$

E.

x = 2 $\frac{1}{3}$ , y = 2 $\frac{1}{2}$

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Correct answer is A

2x - 3y = -10; 10x - 6y = -5

2x - 3y = -10 x 2

10x - 6y = -5

4x - 6y = -20 .......(i)

10x - 6y = -5.......(ii)

eqn(ii) - eqn(1)

6x = 15

x = $\frac{15}{6}$

= $\frac{5}{2}$

x = 2 $\frac{1}{2}$

Sub. for x in equ.(ii) 10( $\frac{5}{2}$ ) - 6y = -5

6y = 25 + 5 → 30

y = $\frac{30}{6}$

y = 5

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