Solve the following system of equations for y. This gives a formula for solving two equations in two variables for y.

A)
B)
C)
D)
E)

Question

Solve the following system of equations for y. This gives a formula for solving two equations in two variables for y. ​

A) ​ ​ 
B) ​​ 
C) ​ ​ ​​ 
D) ​ ​ ​​ 
E) ​ ​ ​

Quizplus · Accepted Answer

To solve the system of equations for y, we need to isolate y in one of the equations and substitute that expression for y in the other equation, and then solve for y. Looking at the given options, we can see that option C is the only one that gives such a formula. It gives the formula y = (5x − 1)/2, which we can substitute in the first equation to obtain 2x − 3[(5x − 1)/2] = −1, and then solve for x. Once we have x, we can substitute it back into the formula for y to obtain the value of y.

Solve the Following System of Equations for Y