Solve the given simultaneous equations:

Question 1.

From ii)

Substituting in i)

Therefore

Hence

Question 2.

From ii)

Substituting in i)

Therefore

Hence

Question 3.

From i)

Substituting in ii)

Therefore

Hence

Question 4.

From i)

Substituting in ii)

or

Therefore

Hence

Question 5.

From i)

Substituting in ii)

or

Therefore

Hence

Question 6.

From i)

Substituting in ii)

or

Hence

Question 7.

Multiply i) by 2 and then subtract ii) from i)

or

Substituting in i)

Hence

Question 8.

Multiply i) by 3 and ii) by 2 and subtract ii) from i)

Substituting in i)

Hence

Question 9.

Multiply i) by 5 and ii) by 7 and subtract ii) from i)

or y=2

Substituting in i)

Hence

Question 10.

Multiply i) by 3 and ii) by 2 and subtract ii) from i)

or

Substituting in i)

Hence

Question 11.

Multiply i) by 9 and ii) by 4 and subtract ii) from i)

Substituting in i)

Hence

Question 12.

Multiply ii) by 2 and subtract ii) from i)

Substituting in i)

Hence

Question 13.

Multiply i) by 2 and ii) by 11 and subtract ii) from i)

or

Substituting back in i)

Hence

Question 14.

Multiply i) by 3 and ii) by 5 and subtract ii) from i)

Substituting back in i)

Hence

Question 15.

Multiply i) by 4 and ii) by 5 and subtract ii) from i)

or

Substituting in i)

Hence

Question 16.

Simplifying ii)

From i)

Substituting in iii)

or

Therefore

Hence

Question 17.

Simplify ii)

Multiply i) by 3 and iii) by 8 and subtract iii) from i)

or

Substituting in i)

Hence

Question 18.

Simplify i) and ii)

Multiplying iii) by 5 and iv) by 2 and subtract iv) from iii)

or

Substituting in iii)

Hence

Question 19.

Simplifying i) and ii)

Add iii) and iv)

Substitute in iii)

Hence

Question 20.

Simplifying i) multiply by 6

Multiply ii) by 3 and iii) by 4 and subtract iii) from ii)

or

Substituting in ii)

Hence

Question 21.

Simplify i) and ii) by multiplying i) by 12 and ii) also by 12

Multiply iii) by 2 and subtract iv) from iii)

or

Hence

Question 22.

Simplify i) and ii) by multiplying i) by 6 and ii) by 4

Now multiply iii) by 3 and iv) by 2 and subtract iv) from iii)

or

Substituting in iii)

Hence

Question 23.

Simplify i) and ii), multiply i) by 12, and ii) by 6

Multiply iv) by 4 and add iii) and iv)

Substituting in iv)

Hence

Question 24.

Add i) and ii)

or

Now multiply iii) by 23 and subtract iii) from i)

or

Hence

Question 25.

Add i) & ii)

or

Now multiply iii) by 97 and subtract iii) from i)

Substitute

Hence

Question 26.

Add i) & ii)

Substituting in i)

or

Hence,

Question 27.

Multiply i) by 4 and subtract ii) from i)

or

Substituting

or

Hence

Question 28.

Multiply i) by 2 & then subtract ii) from i)

or

Substituting

or

Hence

Question 29.

Multiply ii) by 4 & then subtract ii) from i)

or

Hence

Question 30.

Multiply ii) by and add i) & ii)

Substituting

Hence

Question 31.

Simplify i) and ii)

Multiply iii) by 3 and iv) by 2 and subtract iv) from iii)

Substituting

Question 32.

Simplify i) and ii)

or

Multiply ii) by 3 and iv) by 11 and then subtract iv) from ii)

or

Substituting in iii)

Hence