Question

Substitution method, linear equations, 3x-y=3 9x-3y=9

Answer 1

Answer:

3x-y = 3.....(1)

9x-3y = 9.....(2)

now, using substitution method

eq(1)

3x-y = 3

3x = 3+y

x = (3+y)/3

Replacing x in eq(2)

9(3+y)/3-3y = 9

3(3+y)-3y = 9

9+3y-3y = 9

9 = 9

Answer 2

HERE IS YOUR ANSWER MATE.....;

(i) Given,

x + y = 14 and x – y = 4 are the two equations.

From 1st equation, we get,

x = 14 – y

Now, put the value of x in second equation to get,

(14 – y) – y = 4

14 – 2y = 4

2y = 10

Or y = 5

By the value of y, we can now find the value of x;

∵ x = 14 – y

∴ x = 14 – 5

Or x = 9

Hence, x = 9 and y = 5.

(ii) Given,

3x – y = 3 and 9x – 3y = 9 are the two equations.

From 1st equation, we get,

x = (3 + y)/3

Now, substitute the value of x in the given second equation to get,

9[(3 + y)/3] – 3y = 9

⇒ 3(3+y) – 3y = 9

⇒ 9 + 3y – 3y = 9

⇒ 9 = 9

Therefore, y has infinite values and since, x = (3 + y)/3, so x also has infinite values.

Hope it's Helpful....:)