4x-8y=5
4x-8=6
solve by the elimination method
type an ordered pait, integer or fraction
if the second equation is 4x-8y=6,then the lines are parallel, and there is no solution.
To solve the system of equations using the elimination method, you need to eliminate one variable by adding or subtracting the equations. Here's how you can solve the given system:
1. Start by rewriting the system of equations:
Equation 1: 4x - 8y = 5
Equation 2: 4x - 8 = 6
2. Notice that the coefficient of 'x' in both equations is the same, so you can easily eliminate 'x' by subtracting Equation 2 from Equation 1.
(4x - 8y) - (4x - 8) = 5 - 6
4x - 8y - 4x + 8 = -1
-8y + 8 = -1
3. Simplify the equation:
-8y = -1 - 8
-8y = -9
4. Divide both sides of the equation by -8 to solve for 'y':
-8y / -8 = -9 / -8
y = 9/8 or 1.125 (fraction or decimal form)
5. Now, substitute the value of 'y' into either of the original equations (let's use Equation 1) to solve for 'x':
4x - 8(9/8) = 5
4x - 9 = 5
4x = 5 + 9
4x = 14
6. Divide both sides of the equation by 4 to solve for 'x':
4x / 4 = 14 / 4
x = 14/4 or 3.5 (fraction or decimal form)
Therefore, the solution to the system of equations is the ordered pair (x, y) = (3.5, 1.125).