To solve the system of two linear equations, we can use the method of elimination. Adding the two equations together eliminates the x-term:
(-3x - 4y) + (3x - 5y) = -23 + 5
-3x + 3x - 4y - 5y = -18
-9y = -18
Dividing both sides by -9:
y = 2
Substituting this value of y into one of the original equations, we can solve for x:
-3x - 4(2) = -23
-3x - 8 = -23
-3x = -15
x = 5
Therefore, the solution to the system of equations is (5, 2).
Solve the system of two linear equations.
−3x−4y=−23
3x−5y=5 (1 point)
Responses
(5, 2)
left parenthesis 5 comma 2 right parenthesis
(5,−2)
left parenthesis 5 comma negative 2 right parenthesis
(−5,−2)
left parenthesis negative 5 comma negative 2 right parenthesis
(−5, 2)
1 answer
1 answer