A system of equations is shown:

4c + 2d = 11

(7/2) d = 41 - 220

What is the solution to the system?

C = ?

D = ?

c = 793/28, d = - 358/7

Step-by-step explanation:

Solve the following system:

{4 c + 2 d = 11 | (equation 1)

(7 d) / 2 = - 179 | (equation 2)

Multiply equation 2 by 2:

{4 c + 2 d = 11 | (equation 1)

0 c+7 d = - 358 | (equation 2)

Divide equation 2 by 7:

{4 c + 2 d = 11 | (equation 1)

0 c+d = - 358/7 | (equation 2)

Subtract 2 * (equation 2) from equation 1:

{4 c+0 d = 793/7 | (equation 1)

0 c+d = - 358/7 | (equation 2)

Divide equation 1 by 4:

{c+0 d = 793/28 | (equation 1)

0 c+d = - 358/7 | (equation 2)

Collect results:

Answer: {c = 793/28, d = - 358/7