Solve this linear system by graphing. Check the solution. 3x+y=11 x-2y=6
Mathematics · Middle School · Sun Jan 24 2021
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Given the equations:
3x + y = 11
Can be written as,
y = 11 - 3x (1st equation)
x - 2y = 6 (2nd equation)
Solution:
In order to solve the systems of equation, we substitute the value of y from the first equation to the 2nd equation.
x - 2y = 6
x - 2(11 - 3x) = 6
x - 22 - 6x = 6
-5x - 22 = 6
Transpose -5x and 6 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
5x = -22 - 6
5x = -28
Divide both sides by 5 in order to determine the value of x.
5x/5 = -28/5
x = -28/5
Substitute the value of x to the first equation and determine the value of y.
y = 11 - 3(-28/5)
y = 11 + 84/5
11 can be written as 55/5.
y = 55/5 + 84/5
y = 139/5
Final answer:
x = -28/5
y = 139/5