Q:

What is the y-value of the solution to the system of equations?3x + 5y = 17x + 4y = -13لن يرا n​

Accepted Solution

A:
Answer: {x = -3 , y=2  (Isolved for both variables be elimination)Step-by-step explanation:Solve the following system: {3 x + 5 y = 1 | (equation 1) 7 x + 4 y = -13 | (equation 2) Swap equation 1 with equation 2: {7 x + 4 y = -13 | (equation 1) 3 x + 5 y = 1 | (equation 2) Subtract 3/7 × (equation 1) from equation 2: {7 x + 4 y = -13 | (equation 1) 0 x+(23 y)/7 = 46/7 | (equation 2) Multiply equation 2 by 7/23: {7 x + 4 y = -13 | (equation 1) 0 x+y = 2 | (equation 2) Subtract 4 × (equation 2) from equation 1: {7 x+0 y = -21 | (equation 1) 0 x+y = 2 | (equation 2) Divide equation 1 by 7: {x+0 y = -3 | (equation 1) 0 x+y = 2 | (equation 2) Collect results: Answer:  {x = -3 , y=2