Final answer:
To find the solution to the given equality, we can solve it algebraically, graphically, using substitution, or by factoring. Algebraically, we can isolate the variable by performing operations on both sides of the equation. Graphically, we can plot the equation on a coordinate plane. Using substitution, we can substitute values for one variable to find the corresponding values of the other variable. By factoring, we can rewrite the equation as a product of two expressions and solve for the variable.
Step-by-step explanation:
Solution for (a)
In order to find the solution to the given equality algebraically, we need to isolate the variable. Let's assume the given equality is: q = 2p + 3. To isolate q, we can subtract 3 from both sides of the equation: q - 3 = 2p. Then, we can divide both sides by 2 to solve for p: (q - 3)/2 = p. This equation gives us the value of p in terms of q.
Solution for (b)
To solve the given equality graphically, we can plot the equation on a coordinate plane. Let's assume the equation is q = 2p + 3. We can plot points using different values of p and find the corresponding values of q. Connecting these points will give us a graph of the equation.
Solution for (c)
Using substitution, we can solve the given equality by substituting a value for one variable and finding the corresponding value of the other variable. Let's assume the equation is q = 2p + 3. If we substitute a value for p, let's say p = 4, then q = 2(4) + 3 = 11. Similarly, we can substitute different values for p to find the corresponding values of q.
Solution for (d)
If the given equality can be factored, we can solve it by factoring. For example, let's assume the equation is q^2 - 4q = 0. We can factor out q: q(q - 4) = 0. This implies either q = 0 or q - 4 = 0. Therefore, the solutions are q = 0 and q = 4.