Question

Solve by elimination method
3a+5b=26;a+5b=22

Answer 1

Answer:

Solution (a, b) =(2,4)

Step-by-step explanation:

3a+5b =26..................... (1)

a+5b=22....................... (2)

Subtracting equation (1) from (2)

3a+5b=26

a+5b=22

- -

2a. = 4

a= 4

2

a=2

Substituting in equation (1)

3(2)+5b=26

6+5b =26

5b=26-6

5b=20

b= 20

5

b=4

Solution (a, b) =(2,4)

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Answer 2

Step-by-step explanation:

3a + 5b = 26; .....(I)

a + 5b = 22 .....(II)

Subtracting (II) from (I)

2a = 4

⇒ a = 2

Putting the value of a = 2 in (II)

5b = 22 - 2 = 20

⇒b = 20/5

=4

Thus, a = 2 and b = 4.