Y = 5x – 1 –15x – 3y = 3 How many solutions does this linear system have? one solution: (0, –1) one solution: (1, 4) no solution infinite number of solutions
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the equation:
y = 5x - 1
-15x - 3y = 3
Determine the solutions of the linear equation.
Solution:
In order to determine the solution of the linear equation, we simply substitute the of y from the first equation to the second equation.
-15x - 3y = 3
-15x - 3(5x - 1) = 3
-15x - 15x + 3 = 3
-30x = 3 - 3
-30x = 0
x = 0
Substitute the value of x to the first equation and solve for y.
y = 5(0) - 1
y = -1
= (0, -1)
Final answer:
one solution: (0, –1)