What is the first step in solving the linear system
{2x − 3y = 11
{−x + 5y = −9
by the substitution method in the most efficient way?
A. Solve the first equation for x.
B. Solve the first equation for y.
C. Solve the second equation for x.
D. Solve the second equation for y.
I have no idea pls help
I'd go with B, since
-x + 5y = -9 means that
x = 5y+9
and you can use that to do the solution of #1.
Any other substitution would involve some fractions.
What is tha first to solved this system of linear equations
To solve the linear system using the substitution method, the most efficient first step is to solve one of the equations for one variable.
In this case, we will solve the first equation for x or y. Let's choose to solve the first equation for x.
Therefore, the correct answer is: A. Solve the first equation for x.
To solve a linear system by the substitution method, you need to choose one of the equations and solve it for either x or y. Then, substitute that expression into the other equation and solve for the remaining variable.
In this case, to efficiently solve the system using the substitution method, you should choose the equation that is already solved for one of the variables.
Looking at the given system of equations:
{2x − 3y = 11
{−x + 5y = −9
The first equation, 2x − 3y = 11, is not already solved for either x or y, and the second equation, −x + 5y = −9, is also not already solved for either variable.
Therefore, the first step in solving the system by the substitution method in the most efficient way would be to solve one of the equations for either x or y.
So, the correct answer would be either A. Solve the first equation for x or B. Solve the first equation for y.
You can choose either option A or B based on your preference. Solving for x or y will allow you to substitute the expression into the second equation and find the values of both variables.