Question

solve the system of two linear equations.
-3x - 4y = -23
3x - 5y = 5
(_,_)

Answer 1

First, let's solve for x in the first equation:

-3x - 4y = -23
-3x = 4y - 23
x = (4y - 23) / -3

Now, substitute this expression for x into the second equation:

3((4y - 23) / -3) - 5y = 5
(4y - 23) + 5y = 5
4y - 23 + 5y = 5
9y - 23 = 5
9y = 28
y = 28 / 9
y = 3.11

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

-3x - 4(3.11) = -23
-3x - 12.44 = -23
-3x = -10.56
x = -10.56 / -3
x = 3.52

Therefore, the solution to the system of equations is (3.52, 3.11).