Consider the following system of linear equations:
\(5x-2y=-7\)...(1)
\(x=-2y+1\)...(2)
Substitute equation (1) in equation (2):
\(5(-2y+1)-2y=-7\)
\(-10y+5-2y=-7\)
\(-12y=-7-5\)
\(-12y=-12\)
\(y=1\)
\(\displaystyle{x}=-{2}\times{1}+{1}\)
\(=-2+1\)
\(=-1\)
Question
Solve the following system of linear equations in two variables by Substitution method.5x-2y=-7x=-2y+1
Answers (1)
2021-02-12
Relevant Questions
asked 2021-01-19
Solve the following system of linear equations in two variables by Substitution method.
\(\begin{cases}x=-2y-2\\2x+5y=-7\end{cases}\)
asked 2021-06-16
Solve the system of linear equations using the substitution method.
\(x+y−z=4\)
\(3x+2y+4z=17\)
\(-x+5y+z=8\)
asked 2020-10-23
Use substitution to solve each system of linear equations in two variables.
Dimensions of a rectangle The perimeter of a rectangle is 52 inches.The length of the rectangleis 4 inches more than the width.Determine the dimensions of the rectangle by solving the following system of equations where l and w represent the length and width of the rectangle
\(\begin{cases}2l+2w=52\\l=w+4\end{cases}\)
asked 2021-02-14
(a) Find a system of two linear equations in the variables x and y whose solution set is given by the parametric equations \(x = t\) and y \(= 3- 2t.\)
(b) Find another parametric solution to the system in part (a) in which the parameter is s and \(y =s.\)
