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44 votes
44 votes
Solve the simultaneous equations
8x+3y=45 2x+3y=27

User Nitesh Jindal
by
2.8k points

1 Answer

11 votes
11 votes

Answer:

x = 3 and y = 7

Explanation:

Given that,

8x+3y=45 .......(1)

2x+3y=27 ........(2)

We need to solve equations (1) and (2)

Multiply equation (2) by 4.

8x+12y=108 .....(3)

Subtract equation (1) from (3).

8x+12y-(8x+3y)=108-45

12y-3y = 63

9y = 63

y = 7

Put the value of y in equation (1).

2x+3(7)=27

2x+21 = 27

2x = 27-21

2x = 6

x = 3

So, the values of x and y are 3 and 7 respectively.

User Neel Dsouza
by
3.0k points
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