Question

What is the solution of this system of equations? X+5y=10

3x+y=16
A) x=0
Y=2
B)x=5
Y=1
C) X=3
Y=7
D) x=-10
Y=4

Answer 1

{x = 5 , y = 1 thus the Answer is B

Explanation:

Solve the following system:

{x + 5 y = 10 | (equation 1)

{3 x + y = 16 | (equation 2)

Swap equation 1 with equation 2:

{3 x + y = 16 | (equation 1)

{x + 5 y = 10 | (equation 2)

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

{3 x + y = 16 | (equation 1)

{0 x+(14 y)/3 = 14/3 | (equation 2)

Multiply equation 2 by 3/14:

{3 x + y = 16 | (equation 1)

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

Subtract equation 2 from equation 1:

{3 x+0 y = 15 | (equation 1)

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

Divide equation 1 by 3:

{x+0 y = 5 | (equation 1)

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

Collect results:

Answer: {x = 5 , y = 1