One method you can use is expressing one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable. And then can proceed further as shown below.
The solution to the given system of linear equations is given by:
x = -0.0625
y = 2.71875
When both the lines(represented by both the equations) are parallel and not coincident, then that system of linear equations have no solutions as there is no common point on both line.
If they are coincident(lying over each other), then there will have infinite solution since in that case, they will have infinite points in common.
Thus, if two lines are not in any of above case, they intersect at single point and in that case, the considered system of equation has unique single solution.
For that , we will try solving it first using the method of substitution in which we express one variable in other variable's form and then you can substitute this value in other equation to get linear equation in one variable.
If there comes a = a situation for any a, then there are infinite solutions.
If there comes wrong equality, say for example, 3=2, then there are no solutions, else there is one unique solution to the given system of equations.
The given system of equations is
[tex]x + 14y = 38\\7x + 2y =5[/tex]
Using first equation to express variable "x" in terms of "y", we get:
[tex]x + 14y = 38\\x = 38 - 14y[/tex]
Putting this value in the second equation, we get:
[tex]7x + 2y = 5\\7(38-14y) + 2y = 5\\266 - 98y + 2y = 5\\\\266 -5 = 96y\\\\y = \dfrac{261}{96} = 2.71875[/tex]
Putting this value in the equation obtained for value of x, we get:
[tex]x = 38 -14y = 38 - 14 \times\dfrac{266}{96} = -0.0625[/tex]
Thus,
The solution to the given system of linear equations is given by:
x = -0.0625
y = 2.71875
Learn more about system of linear equations here:
https://brainly.com/question/13722693
Answer:
The answer is No Solution
Step-by-step explanation:
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