Question

Solve this system of linear equation the x- and y-value with a comma. 18x+13y=60 6x+2y=6

Answer 1

18x + 13y = 60

6x + 2y = 6 ---> 6x = -2y +6 ---> 18x = -6y+18

Substitution

(-6y +18)+13y =60

-18 -18

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7y = 42 so y=6

Then, 6x + 2(6) =6, which you will get x = -1

(-1, 6)

Answer 2

The solution is (-1, 6).

Explanation:

Rewrite 18x+13y=60 6x+2y=6 as

18x+13y=60

6x+2y=6

and then mult. the 2nd equation by -3:

18x+13y=60

-18x - 6y= -18

Sum up the two equations:

18x+13y=60

-18x - 6y= -18

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7y = 42, so y = 6.

Subbing 6 for y in the first equation results in:

18x + 13(6) = 60, which can be reduced to 3x + 13 = 10

Then 3x = -3, and x = -1.

The solution is (-1, 6).