To find the values of m and n when the equation m + n = 10 is given, Lisa can use various methods. Here are a few common approaches:
Substitution method:
Solve one variable in terms of the other from the given equation. For example, solve m = 10 - n.
Substitute this value of m into the original equation.
Simplify and solve for n.
Once n is found, substitute its value back into the equation to solve for m.
Elimination method:
Multiply one or both sides of the equation by a constant to make the coefficients of one variable opposite in sign.
Add or subtract the resulting equations to eliminate one variable.
Solve the resulting equation for the remaining variable.
Substitute the found value back into the original equation to solve for the other variable.
Graphical method:
Plot the equation m + n = 10 on a graph, representing it as a straight line.
Find the point where the line intersects the x-axis and y-axis.
The x-coordinate of the intersection point represents the value of m, and the y-coordinate represents the value of n.
These methods should help Lisa find the values of m and n when given the equation m + n = 10. Choose the one that seems most appropriate or convenient for the specific situation.
To find the values of m and n when the equation m + n = 10 is given, Lisa can follow these steps:
Solve for one variable in terms of the other:
Subtract n from both sides of the equation: m = 10 - n.
Substitute the value of m back into the original equation:
Replace m with 10 - n in the equation m + n = 10.
This gives (10 - n) + n = 10.
Simplify and solve for n:
Distribute the negative sign: 10 - n + n = 10.
Combine like terms: 10 = 10.
Since the equation simplifies to a true statement, it means that any value of n will satisfy the equation.
Determine the value of n:
Since there are infinitely many solutions for n, Lisa can choose any value for n.
For example, let's say Lisa chooses n = 5.
Find the value of m:
Substitute the chosen value of n back into the equation m = 10 - n.
Using n = 5, we get m = 10 - 5 = 5.
Therefore, when m + n = 10, one possible solution is m = 5 and n = 5. However, there are many other possible combinations for m and n that satisfy the equation.