Answer: Proportional and nonproportional linear relationships can be used to solve problems by creating equations and using them to find unknown values. A proportional linear relationship is a relationship in which the ratio of the dependent variable to the independent variable is constant. For example, y = kx is a proportional linear relationship, where k is the constant of proportionality. Nonproportional linear relationships, on the other hand, have a variable ratio between the dependent and independent variables. For example, y = mx + b is a nonproportional linear relationship, where m is the slope and b is the y-intercept.
To solve a system of equations is to find the values that make all the equations in the system true simultaneously. This can be done by using methods such as substitution, elimination, or graphing.
A system of equations is a set of two or more equations with the same variables, and solving such a system is finding the values of the variables that satisfy all the equations in the system.
For example, if we have a system of two equations,
y = 2x+1
y = -x+5
we can solve it by finding the values of x and y that make both equations true at the same time.
In summary, proportional and nonproportional linear relationships can be used to solve problems by creating equations and using them to find unknown values. Solving a system of equations is finding the values of the variables that satisfy all the equations in the system.
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