James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?

James'age : 12, Kate's age : 7Further Explanation One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:[tex]\large{\boxed{\bold{ax=b}}}[/tex]ax + b = c, where a, b, and c are constants, x is a variableWhereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is oneCan be stated in the form:[tex]\large{\boxed{\bold{ax+by=c}}}[/tex]x, y = variableIn the statement of the task:James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2  ⇒equation 1Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K  ⇒equation 2So the solution is:Equation 2 is entered into equation 1 so that it becomes:19-K = 2K-221 = 3KK = 7because J + K = 19, then the value of J = 19-7 = 12Learn morethe slope-intercept form of the linear equation graph of a linear equation of linear equations : Age, variable, linear equation