Answer:
Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.
Solve System of Linear Equation:
3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21
Steps:
[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]
Isolate x for 3x - 6y = -8: x = -8 + 6y / 3
3x - 6y = -8
Add 6y both sides:
3x - 6y + 6y = -8 + 6y
Simplify:
3x = - 8 + 6y
Divide Both sides by 3:
3x / x = -8 / 3 + 6y / 3
Simplify:
x = -8 + 6y / 3
Substitute:
x = -8 + 6y / 3
[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]
Isolate:
-1 / 4 -8 + 6y / 3 + 4y = 6
y = 32 / 21
For x = -8 + 6y / 3
Substitute:
y = 32 / 21
x = -8 + 6 / 3 * 32 / 21
-8 + 6 / 3 * 32 / 21
x = 8 / 21
The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21
Hope that helps!!! : )
