Question

A system of equations is shown:

4c + 2d = 11
(7/2) d = 41 - 220
What is the solution to the system?

C = ?
D = ?​

Answer 1

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

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