What is the solution of the systems of equations? Y=3x-4 and -3y=-9x+12
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the equations:
y = 3x -4
-3y = -9x + 12
Determine the solution of the systems of equation.
Solution:
Since we are given two equations, in order to determine their solutions, we must equate the two solutions in one equation. Before doing that we must simplify first -3y = -9x + 12. Divide both sides by -3 in order to find the value of x.
-3y = -9x + 12
-3y-/3 = -9x/-3 + 12 /-3
y =3x -4
Since we have the same solution, there is no need to equate the two solutions into one equation, we can simply solve for the value of x directly.
=3x -4
Transpose -4 on the other side of the equation, note that when transposing a number, the sign changes.
3x = 4
Divide both sides by 3 in order to get the value of x.
x = 4/3
Final answer:
x = 4/3