Question

3a-2b= -10 ; 2a+3b =2​

Answer 1

Answer:

3a-2b = -10 ......... equation 1

2a+3b=2. ........ equation 2

3a-2b = -10 ......... equation 1 ×3

2a+3b= 2. ........ equation 2×2

9a-6b = -30...... equation 3

4a+6b= 4........... equation 4

adding equation 3+4

9a-6b = -30

4a+6b= 4

____________

13a. = -26

a. = -26

___

13

a= 2

let a= 2 in equation 1

3a-2b = -10

3×2×b = -10

6b. = -10

b. = -10-6

b. = -16

answer. a = 2 and b= - 16

Answer 2

Answer:

3a-2b = -10

3a-b = 10÷2

3a-b = 5 equation 1

2a +3b = 2

a+3b = 2÷2

a+ 3b = 1 Eqaution 2

From equation 1 and 2

3a-b =5

a+3b =1

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2a-4b = 4 Eqaution 3

From Equation 3

2a-4b =4

2a= 4b÷4

2a = b

a = b/2

From equation 2

a+3b =1 Substitute a= b/2

$\frac{b}{2} + \frac{3b}{1} = 1$

$\frac{b +6b }{2} = 1$

b+3b =1

4b = 1

$b = \frac{1}{4}$

Now substitute b= 1/4 in Equation 1

3a-b =5

3a+1/4 = 5

3a = 5-1/4

$3a = \frac{5}{1} - \frac{1}{4}$

$3a = \frac{20 - 1}{4}$

3a = 19/4

3a =4.75

a = 4.75/3

a =1.58