Question

/Veda solves the following system of linear equations by elimination. What is the value of x in the solution of the system of equations?

B + 4x - 2y &= 0 \\
-3 - 7y &= -100
\end{align*} \]
a) 5
b) -5
c) 25
d) -25

Answer 1

To solve the system of linear equations by elimination, we eliminate the variable y by multiplying the equations and adding them together. The value of x in the solution is 27.71 - B/4.

Step-by-step explanation:

To solve the system of linear equations by elimination, we need to eliminate one variable at a time. In this case, let's eliminate the variable y.

Multiply the first equation by 7 and the second equation by -2 to make the coefficients of y equal:

7B + 28x - 14y = 0

6 + 14y = 200

Now, add the two equations together to eliminate y:

7B + 28x - 14y + 6 + 14y = 0 + 200

7B + 28x + 6 = 200

Next, simplify the equation:

7B + 28x = 194

Divide both sides of the equation by 7:

B + 4x = 27.71

Finally, subtract B from both sides of the equation:

4x = 27.71 - B

Therefore, the value of x in the solution of the system of equations is 27.71 - B/4.