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Question

Solve the simultaneous equations

3x + 5y = 6

7x – 5y = −11

Show clear algebraic working.

X-?

Y-?

Answer 1

Since the coefficient of 'y' in both the equations are same, i.e., 5 and the sign is negative, add the two equations and solve for 'x' as follows:

3x + 5y = 6 ------------ eq 1

7x -5y = -11 ------------ eq 2

Adding eq 1 and eq 2,

10x = -5

x = -1/2

Now, substitute the computed value of 'x' in eq 1 and solve for 'y':

3 (-1/2) + 5y = 6

-3/2 + 5y = 6

5y = 6 + 3/2

5y = (12 + 3)/2

5y = 15/2

y = 3/2

Therefore, x = -1/2 and y = 3/2.