How do you solve the following linear system 3 x-2y=4 , x+4y=3?
2 Answers
Explanation:
1) Rearrange your equations to make them easier to use. The easiest way to do this is to isolate ONE variable that has the coefficient of 1.
3x - 2y = 4
x = -4y + 3
2) Since you now know what the x variable is in terms of y, you can go ahead and substitute it into the first equation.
3 (-4y + 3) - 2y = 4
3) Simplify
3 (-4y + 3) - 2y = 4
-12y + 9 - 2y = 4
-14y + 9 = 4
-14y = -5
y = 5/14
4) Substitute the solution you just got to get the second variable.
x + 4y = 3
x + 4 (5/14) = 3
x + 10/7 = 3
x = 11/7
Explanation:
Using the second equation, derive a value for
Subtract
In the first equation, substitute
Open the brackets and simplify. The product of a positive and a negative is a negative.
Subtract
Divide both sides by
In the second equation, substitute
Open the brackets and simplify.
Subtract