QuestionSolve these equations and verify your solutions:
1.
2.
3.
4.
5.
Studdy Solution
Assumptions1. The equations are linear equations in one variable.
. The variable in each equation is real.
3. The equations have at least one solution.
Problem7First, we need to distribute the number outside the parentheses on both sides of the equation.
3istribute the numbers.
4To isolate the variable, we need to get all terms with 'r' on one side of the equation and the constants on the other side. Subtract from both sides.
5implify the equation.
6Subtract16 from both sides to isolate the variable.
7implify the equation.
8Divide both sides by to solve for r.
9implify to find the solution for r.
Problem810istribute the number outside the parentheses on both sides of the equation.
11istribute the numbers.
12Subtract from both sides.
13implify the equation.
14Subtract30 from both sides to isolate the variable.
15implify the equation.
16Divide both sides by3 to solve for n.
17implify to find the solution for n.
Problem918istribute the number outside the parentheses on the left side of the equation.
19istribute the number.
20implify the left side of the equation.
21Add g to both sides to isolate the variable.
22implify the equation.
23Subtract33 from both sides to isolate the variable.
24implify the equation.
25Divide both sides by6 to solve for g.
26implify to find the solution for g.
Problem1027istribute the number outside the parentheses on the left side of the equation.
28istribute the number.
29implify the left side of the equation.
30Add to both sides to isolate the variable.
31implify the equation.
32Subtract6 from both sides to isolate the variable.
33implify the equation.
34Divide both sides by to solve for x.
35implify to find the solution for x.
Problem1136istribute the number outside the parentheses on both sides of the equation.
37istribute the numbers.
38Subtract from both sides.
39implify the equation.
40Add6 to both sides to isolate the variable.
41implify the equation.
42Divide both sides by3 to solve for m.
43implify to find the solution for m.
Was this helpful?