Question

Solve this system algebraically.

9x + 2y = 5

y - 2x + 3 = 0

{(11/13, -17/13)}
{(-11/13, -17/13)}
{(-11/13, 17/13)}
{(11/13, 17/13)}

Answer 1

The correct answer to this question is letter A {(11/13, -17/13)}

Explanation:

Got it right on a quiz.

Answer 2

From the second equation, express y in terms of x. The expression is,
y = 2x - 3
Substitute this expression for y in the y of the first equation,
9x + 2(2x - 3) = 5
The value of x from the equation is 11/13. The value of y is therefore,
y = 2(11/13) - 3 = -17/13
The solution is (11/13, -17/13).