Answer:
(1/2, 9/2)
Step-by-step explanation:
Write the system as a column (not as a row of characters):
x − 3y = –13 and 5x + 7y = 34 =>
x − 3y = –13
5x + 7y = 34
Let's eliminate x using the method of addition and subtraction. Multiply all terms of the first row by -5:
-5x + 15y = 65
5x + 7y = 34
The sum of these two equations is
22y = 99, and so
y = 9/2
Substituting 9/2 or y in the first equation, we get:
x - 3(9/2) = -13, which simplifies to:
x = 27/2 - 13, or
x = 27/2 - 26/2, or x = 1/2
Then the solution is (1/2, 9/2)
