Question

ERROR ANALYSIS: Describe and correct the error in solving the system of linear equations.
2x+y=5 and 3x-2y=4
solve by substitution
(Please provide steps)

Answer 1

Answer:

x =2

y = 1

Given:-

$2x + y = 5 \: \: \: \: \: \: \: ..........(1) \\ 3x - 2y = 4 \: \: \: \: ............(2)$

To find:-

• value of x and y
• though substitution method.

Solution:-

• by solving of the given equation fir one of the varibles ,which ever is convenient
• substitute that value of the varibale in the other equation.

$2x + y = 5 \: \: \: \: \: \: \: ..........(1) \\ 3x - 2y = 4 \: \: \: \: ............(2) \\ \\ we \: solve \: the \: 1st \: \: equation \: for \: x \\ \\ 2x + y = 5 \\ 2x = 5 - y \\ x = \frac{5 - y}{2} \: \: \: \: \: \: .............(3) \\ \\ substitude \: this \: value \\ \: of \: x \: in \: equation \: 2 \\ \\ 3x - 2y = 4 \\ \\ 3 \times ( \frac{5 - y}{2} ) - 2y = 4 \\ \\ \frac{15- 3y}{2} - 2y = 4 \\ \\ 15- 3y - 4y = 8 \\ \\ 15- 7y = 8 \\ \\ - 7y = 8 - 15 \\ \\ - 7y = - 7y \\ \\ y = 1 \\ \\ now \: put \: y = 1 \: in \: eqution \: 3 \\ \\ x = \frac{5 - y}{2} \\ \\ x = \frac{5 - 1}{2} \\ \\ x = \frac{4}{2} \\ \\ x = 2$