Question

What is the x-value of the solution to the system of equations?
5x + 4y = 8
2x - 3y =17

Answer 1

I believe it is x=4 (the third answer)

Explanation:

Answer 2

x = 4

Explanation:

Solve the following system:

{5 x + 4 y = 8 | (equation 1)

2 x - 3 y = 17 | (equation 2)

Subtract 2/5 × (equation 1) from equation 2:

{5 x + 4 y = 8 | (equation 1)

0 x - (23 y)/5 = 69/5 | (equation 2)

Multiply equation 2 by 5/23:

{5 x + 4 y = 8 | (equation 1)

0 x - y = 3 | (equation 2)

Multiply equation 2 by -1:

{5 x + 4 y = 8 | (equation 1)

0 x+y = -3 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{5 x+0 y = 20 | (equation 1)

0 x+y = -3 | (equation 2)

Divide equation 1 by 5:

{x+0 y = 4 | (equation 1)

0 x+y = -3 | (equation 2)

Collect results:

Answer: {x = 4 , y = -3