Answer: x = -10/21
Explanation:
The value of x can be found by solving the system of linear equations. To do this, we can use either substitution or elimination method.Substitution Method:Solve one equation for either x or y and substitute it into the other equation.Solve for the remaining variable.Use the value of the remaining variable to find the value of x.Elimination Method:Multiply one equation by a constant so that the coefficients of one of the variables are equal and opposite.Add the two equations together to eliminate the variable.Solve for the remaining variable.Use the value of the remaining variable to find the value of x.For the given system of equations, we can use the substitution method.Solving the first equation for y: y = -2x + 8Substituting this expression for y into the second equation: 5x - (-2x + 8) = -5/3Simplifying the right-hand side: 7x + 5/3 = -5/3Subtracting 5/3 from both sides: 7x = -10/3Dividing both sides by 7: x = -10/21