Question
5x–4y=–44 –x+3y=22(1 point) (, )
Answers
GPT 3.5
To solve this system of equations, we can use the method of substitution or elimination.
Let's use the elimination method here.
First, let's multiply the second equation by 5 so that the coefficients of x will be opposite and we can eliminate x when we add the two equations together.
5(-x + 3y) = 5(22)
-5x + 15y = 110
Now, we will add the two equations together
5x - 4y = -44
-5x + 15y = 110
___________________
11y = 66
y = 6
Now, we can substitute the value of y back into either of the original equations to solve for x. Let's use the first equation.
5x - 4(6) = -44
5x - 24 = -44
5x = -20
x = -4
Therefore, the solution to the system of equations:
5x - 4y = -44
-x + 3y = 22
is x = -4 and y = 6. The solution is (-4, 6).
Let's use the elimination method here.
First, let's multiply the second equation by 5 so that the coefficients of x will be opposite and we can eliminate x when we add the two equations together.
5(-x + 3y) = 5(22)
-5x + 15y = 110
Now, we will add the two equations together
5x - 4y = -44
-5x + 15y = 110
___________________
11y = 66
y = 6
Now, we can substitute the value of y back into either of the original equations to solve for x. Let's use the first equation.
5x - 4(6) = -44
5x - 24 = -44
5x = -20
x = -4
Therefore, the solution to the system of equations:
5x - 4y = -44
-x + 3y = 22
is x = -4 and y = 6. The solution is (-4, 6).