Question

−3x−4y=−23
3x−5y=5

Answer 1

To solve the system of equations, one approach is to use the method of substitution.

First, let's solve the first equation for x:
-3x - 4y = -23
-3x = 4y - 23
Divide both sides by -3, remembering to reverse the inequality sign:
x = (4y - 23)/-3
x = (-4y + 23)/3

Now, substitute this expression for x in the second equation:
3x - 5y = 5
3((-4y + 23)/3) - 5y = 5
-4y + 23 - 5y = 5
-9y + 23 = 5
-9y = 5 - 23
-9y = -18
y = -18/-9
y = 2

Substituting the value of y back into the first equation to solve for x:
x = (-4(2) + 23)/3
x = (23 - 8)/3
x = 15/3
x = 5

So, the solution to the system of equations is x = 5 and y = 2.