Question

“Using the matrix solver on your calculator, find the solution to the system of equations shown below.”

4x-y=3
6x-2y=2

O A. No solution
O B. x=2,y=5
O C. More than one solution
O D. x=5,y=2

Answer 1

x = 2 , y = 5

Explanation:

Solve the following system:

{4 x - y = 3 | (equation 1)

6 x - 2 y = 2 | (equation 2)

Swap equation 1 with equation 2:

{6 x - 2 y = 2 | (equation 1)

4 x - y = 3 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{6 x - 2 y = 2 | (equation 1)

0 x+y/3 = 5/3 | (equation 2)

Divide equation 1 by 2:

{3 x - y = 1 | (equation 1)

0 x+y/3 = 5/3 | (equation 2)

Multiply equation 2 by 3:

{3 x - y = 1 | (equation 1)

0 x+y = 5 | (equation 2)

Add equation 2 to equation 1:

{3 x+0 y = 6 | (equation 1)

0 x+y = 5 | (equation 2)

Divide equation 1 by 3:

{x+0 y = 2 | (equation 1)

0 x+y = 5 | (equation 2)

Collect results:

Answer: {x = 2 , y = 5