Solve the system of linear equations Y+2.3=0.45x - 2y=4.2-7.8

Question

Cesar Sanford

Mathematics

3 March, 21:51

Solve the system of linear equations Y+2.3=0.45x - 2y=4.2-7.8

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Answers (1)

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Pecan · Answer 1

Solve the following system using substitution:

{y + 2.3 = 0.45 x

{-2 y = - 3.6

In the second equation, look to solve for y:

{y + 2.3 = 0.45 x

{-2 y = - 3.6

-3.6 = - 18/5:

-2 y = - 18/5

Divide both sides by - 2:

{y + 2.3 = 0.45 x

{y = 9/5

Substitute y = 9/5 into the first equation:

{4.1 = 0.45 x

{y = 9/5

In the first equation, look to solve for x:

{4.1 = 0.45 x

{y = 9/5

4.1 = 41/10 and 0.45 x = (9 x) / 20:

41/10 = (9 x) / 20

41/10 = (9 x) / 20 is equivalent to (9 x) / 20 = 41/10:

{ (9 x) / 20 = 41/10

{y = 9/5

Multiply both sides by 20/9:

Answer: {x = 82/9

{y = 9/5