Question

— 7x — Зу = 4
— 7х + 4 = 11
A variable needs to get eliminated.

Answer 1

To eliminate the variable x in the given system of equations, we can use substitution. Solve one of the equations for x, substitute that expression into the other equation, and then solve for the remaining variable. The solution is x = -3/7 and y = -1/3.

Step-by-step explanation:

To eliminate the variable x, we can use the method of substitution. Start by solving one of the equations for x and substitute that expression into the other equation. Let's solve the second equation for x:

4 - 7x + 4 = 11

-7x + 8 = 11

-7x = 3

x = -3/7

Now substitute this value of x into the first equation:

-7x - 3y = 4

-7 * (-3/7) - 3y = 4

3 - 3y = 4

-3y = 1

y = -1/3

So, the eliminated variable is x and the solution to the system of equations is x = -3/7 and y = -1/3.