Respuesta :
Answer:
There is only one solution, x = 5 and y = 2.
Step-by-step explanation:
To answer this question, we have to solve this system of equations.
We have that:
x - 3y = -1
4x + 3y = 26
Writing x as a function of y in the first equation, and replacing in the second, we have that:
x = 3y - 1
Replacing in the second
4x + 3y = 26
4(3y - 1) + 3y = 26
12y - 4 + 3y = 26
15y = 30
y = 2
Since we have 15y = 30, y = 2, there is only one solution.
If we had 0y = 0, there would be infinitely many solutions.
If we had 0y = a, a different of zero, there would be no solution.
Solving for x
x = 3y - 1 = 3*2 - 1 = 5
There is only one solution, x = 5 and y = 2.
Answer:it has one solution.
Step-by-step explanation:
The given system of equations is expressed as
x − 3y = −1 - - - - - - - - -1
4x + 3y = 26 - - - - - - - - 2
The first step would be to eliminate y by adding equation 1 to equation 2. It becomes
5x = 25
Dividing the left hand side and the right hand side of the equation by 5, it becomes
5x/5 = 25/5
x = 5
Substituting x = 5 into equation 1, it becomes
5 − 3y = −1
3y = 5 +1 = 6
Dividing the left hand side and the right hand side of the equation by 3, it becomes
3y/3 = 6/3
y = 2
