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40 votes
40 votes
6x + 7y = 1
8x – 3y = 25
Solve me fast explainly

User Dms
by
2.7k points

1 Answer

17 votes
17 votes

Answer:

{x,y} = {89/37,-71/37}

Explanation:

8x = 3y + 25

[2] x = 3y/8 + 25/8

Plug this in for variable x in equation [1]

[1] 6•(3y/8+25/8) + 7y = 1

[1] 37y/4 = -71/4

[1] 37y = -71

Solve equation [1] for the variable y

[1] 37y = - 71

[1] y = - 71/37

By now we know this much :

x = 3y/8+25/8

y = -71/37

Use the y value to solve for x

x = (3/8)(-71/37)+25/8 = 89/37

User Rob Vermeulen
by
3.0k points