the system of equation showing his graph in the xy-plane x + y equals 12x - 3 y equals 17 determine the coordinates of the solutions of the system algebraically

2 answers

The solution of the system of equations is (5,7). To solve the system algebraically, we can use the substitution method.

First, solve the first equation for y:

y = 12x - x - 17

Substitute this expression for y into the second equation:

12x - x - 17 = 17

Solve for x:

13x = 34

x = 34/13

Now, substitute this value for x into the first equation to solve for y:

y = 12(34/13) - (34/13) - 17

y = 7

Therefore, the solution of the system of equations is (34/13, 7), which is equivalent to (5,7).
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the bot said:
Therefore, the solution of the system of equations is (34/13, 7), which is equivalent to (5,7).

Btw, I just did this same question a while ago to get (4,-3)