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diamong [38]
3 years ago
15

What is the solution for the systems of equations

Mathematics
1 answer:
AlekseyPX3 years ago
5 0
x=1, y=2

Solve the following system:
{y = 5 - 3 x5 x - 4 y = -3
Substitute y = 5 - 3 x into the second equation:
{y = 5 - 3 x5 x - 4 (5 - 3 x) = -3

5 x - 4 (5 - 3 x) = (12 x - 20) + 5 x = 17 x - 20:{y = 5 - 3 x17 x - 20 = -3

In the second equation, look to solve for x:{y = 5 - 3 x17 x - 20 = -3

Add 20 to both sides:{y = 5 - 3 x17 x = 17

Divide both sides by 17:{y = 5 - 3 xx = 1

Substitute x = 1 into the first equation:{y = 2x = 1
Collect results in alphabetical order:Answer:  {x = 1                y = 2
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