Question

What is the solution to the system of linear equations?

Answer 1

Answer:

{x = 8 ,  y = 1

Step-by-step explanation:

Solve the following system:

{2 x + 4 y = 20 | (equation 1)

{3 x + 2 y = 26 | (equation 2)

Swap equation 1 with equation 2:

{3 x + 2 y = 26 | (equation 1)

{2 x + 4 y = 20 | (equation 2)

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

{3 x + 2 y = 26 | (equation 1)

{0 x+(8 y)/3 = 8/3 | (equation 2)

Multiply equation 2 by 3/8:

{3 x + 2 y = 26 | (equation 1)

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

Subtract 2 × (equation 2) from equation 1:

{3 x+0 y = 24 | (equation 1)

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

Divide equation 1 by 3:

{x+0 y = 8 | (equation 1)

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

Collect results:

Answer:  {x = 8 ,  y = 1

Answer 2

Answer:

x = 8 ,  y = 1

Step-by-step explanation:

Verified correct with K12 test.