James'age : 12, Kate's age : 7
Further 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 variable
Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
[tex]\large{\boxed{\bold{ax+by=c}}}[/tex]
x, y = variable
In 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 1
- Together their ages add up to 19.
The equation: J + K = 19 .... 2 ---> J = 19 - K ⇒equation 2
So the solution is:
Equation 2 is entered into equation 1 so that it becomes:
19-K = 2K-2
21 = 3K
K = 7
because J + K = 19, then the value of J = 19-7 = 12
Learn more
the slope-intercept form of the linear equation
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system of linear equations
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Keywords : Age, variable, linear equation
