Question

Help with both please & with explanation :)

Answer 1

3. x=-3, y=-7

4. x=2, y=1

Explanation:

Question 3:

x - 5y = 32 ... (i)

2x - 9y = 57 ... (ii)

Solving this simultaneous equation by substitution;

According to (i),

x = 32 + 5y

Substituting it at (ii)

2(32 + 5y) - 9y = 57

64 + 10y - 9y = 57

64 + y = 57

y = 57 - 64 = -7

Substituting y = -7 in (i)

x - 5(-7) = 32

x + 35 = 32

x = 32 - 35 = -3

Question 4:

x + y = 3 ... (i)

5x - 4y = 6 ... (ii)

According to (i),

x = 3 - y

Substituting x = 3 - y in (ii),

5(3 - y) - 4y = 6

15 - 5y - 4y = 6

15 - 9y = 6

9y = 15 - 6 = 9

y = 1

Substituting y = 1 in (i),

x + 1 = 3

x = 3 - 1 = 2

x = 2