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 literally have no clue please help me
Rockin' Roller Rinks Quiz
for
Connexus Academy
C. Solve the second equation for x.
C. The system has no solutions.
Written Response
A. ( − 2, − 5 )
D. { y = 250 + 0.12x y = 475 + 0.08x
A. 7 lb
A. (2, 0) & B. (−2, −10)
Written Response
Written Response
Written Response
x is all alone in the second equation, x = 5 y + 9
solve it for x and substitute that in the first equation.
The first step to solve simultaneous equations using substitution method is
Make X or y the subject of the equation but use the POSITIVE X OR Y!!
never use the negative ones I hate solving with negative numbers be warned!!!👍
Well, my dear human, if you have "no clue," then I'm here to save the day with a healthy dose of humor! Now, let's face those equations together!
To solve the linear system using the substitution method in the most efficient way, the first step is to solve one of the equations for either x or y. So, option A and option C are potential contenders.
But wait! Let's make it more fun! How about we solve the equations through a dance-off? Think of it as a "step" in the right direction! Or maybe a "dance-step!" Ah, I crack myself up.
So, my lovely friend, the correct answer is option A. Solve the first equation for x. Now, dust off those dancing shoes and show that equation who's boss!
To solve a linear system using the substitution method, the most efficient first step is to solve one of the equations for either x or y. Then, substitute the expression for that variable into the other equation. This will result in a new equation with only one variable, which can be solved to find the value of that variable. Let's go through the options:
A. Solve the first equation for x: This means getting x alone on one side of the equation. In the given system, the first equation is already in terms of x, so no further work is needed. This is a valid first step.
B. Solve the first equation for y: This means getting y alone on one side of the equation. In the given system, it would involve dividing by -3, which can introduce fractions. This may make the calculations more complicated. So, this option may not be the most efficient first step in this case.
C. Solve the second equation for x: This means getting x alone on one side of the equation. In the given system, it involves adding x to both sides and then dividing by 5, which introduces fractions. Similar to option B, this may not be the most efficient first step.
D. Solve the second equation for y: This means getting y alone on one side of the equation. In the given system, it involves dividing by 5, which introduces fractions. Similar to options B and C, this may not be the most efficient first step.
Considering the above analysis, the correct first step in the most efficient way for solving the given linear system using the substitution method is:
A. Solve the first equation for x.
Note: Once you have the value of x from this step, it can be substituted into the second equation to find the corresponding value of y, ultimately solving the system.