Solve linear equations in one variable and rational equations.

Question
Equations
asked 2021-03-09
Solve linear equations in one variable and rational equations.

Answers (1)

2021-03-10
Step 1: To Find
We have to solve the linear equation in one variable and rational equations.
Step 2: Explanation
If we have a linear equation \(\displaystyle\frac{{5}}{{2}}{x}+\frac{{2}}{{3}}=−\frac{{7}}{{12}}\) then the solution
\(\displaystyle\frac{{5}}{{2}}{x}+\frac{{2}}{{3}}=-\frac{{7}}{{12}}\)
\(\displaystyle\frac{{{15}{x}+{4}}}{{6}}=-\frac{{7}}{{12}}\)
\(\displaystyle{\left({15}{x}+{4}\right)}=-\frac{{{7}\times{6}}}{{12}}\)
\(\displaystyle{\left({15}{x}+{4}\right)}=-\frac{{7}}{{2}}\)
2(15x+4)=-7
30x+8=-7
30x=-7-8
30x=-15
\(\displaystyle{x}=-\frac{{15}}{{30}}\)
\(\displaystyle{x}=-\frac{{1}}{{2}}\)
0

Relevant Questions

asked 2020-11-08
Directions: Define 2 variables, write 2 equations, and solve the system of equations.
The North Ridgeville Football team played a game against Avon last week. A total of 125 points were scored by both teams. The teams scored a total of 22 six-point touchdowns and three-point field goals. In additon, there were 4 two-point safeties and 12 one-point kids scored. How many touchdowns and field goals were scored by the teams during the game?
asked 2021-03-04
Suppose the solutions of a homogeneous system of five linear equations in six unknowns are all multiples of one nonzero solution. Will the system necessarily have a solution for every possible choice of constants on the right sides of the equations?
asked 2021-01-19
Solve the following system of linear equations in two variables by Substitution method.
x=-2y-2
2x+5y=-7
asked 2021-02-11
Solve the following system of linear equations in two variables by Substitution method.
5x-2y=-7
x=-2y+1
asked 2021-01-08
Solve the following system of linear equations in two variables by Substitution method.
x=8-2y
2x+3y=13
asked 2020-10-18
Use the method of substitution to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form.
y=-11
x+2y=7
asked 2021-02-04
Use Cramer’s Rule to solve the system of linear equations.
20x+8y=11
12x-24y=21
asked 2021-02-05
Use Cramer’s Rule to solve (if possible) the system of linear equations.
4x-y-z=1
2x+2y+3z=10
5x-2y-2z=-1
asked 2021-02-25
Use an inverse matrix to solve system of linear equations.
x+2y=10
x-2y=-6
asked 2021-02-18
Use an inverse matrix to solve system of linear equations.
x+2y=-1
x-2y=3
...