Solve system of equation by substitutionx-2y=3, 4x-8y=12
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
x -2y =3
4x - 8y = 12
Solve the systems of equation:
Solution:
In order to solve the systems of equation, we can rewrite each equation as,
x -2y =3
x - 2y -3 = 0
4x - 8y = 12
4x - 8y - 12 = 0
Equate the two equations in one single solution:
x - 2y -3 = 4x - 8y - 12
Solve for x and y, separately. We can start first by transposing all the values on one side, hence we must take note that in transposing a number, the sign changes.
4x - 8y - 12 + x + 2y + 3 = 0
3x + 6y - 9
Factor out 3 in the equation.
3(x + 2y -3) = 0
Solve for x.
x = 2y + 3
Solve for y.
2y = 3 + x
y = 3/2 + ½x
Final answer:
x = 2y + 3
y = 3/2 + ½x