How do you solve the system of equations x + 5y = 5x+5y=5 and x = 4 - 5yx=4−5y?

1 Answer
smendyka
Feb 18, 2017

See the entire solution process below:

Explanation:

Step 1) Solve the first equation for xx:

x + 5y = 5x+5y=5

x + 5y - color(red)(5y) = 5 - color(red)(5y)x+5y−5y=5−5y

x + 0 = 5 - 5yx+0=5−5y

x = 5 - 5yx=5−5y

Step 2) Substitute 5 - 5y5−5y for xx in the second equation and solve for yy:

x = 4 - 5yx=4−5y becomes:

5 - 5y = 4 - 5y5−5y=4−5y

5 - 5y + color(red)(5y) = 4 - 5y + color(red)(5y)5−5y+5y=4−5y+5y

5 - 0 = 4 - 05−0=4−0

5 != 45≠4

Because 55 does not equal 44 there is no solution to this question or the solution is xx and yy equal the null set: {O/}{∅}

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