Q:

Choose a system of equations with the same solution as the following system:4x − y = −112x + 3y = 5A. 12x − 3y = −33 10x − 6y = −38B. −4x − 9y = −21 −2x − 7y = −27C. 4x + 3y = 5 10x + 5y = −1D. 2x − 4y = −16 4x − 4y = 44

Accepted Solution

A:
Answer:x = -2 , y = 3 A: = True, B: = False, C: = False, D: = FalseStep-by-step explanation:Solve the following system: {4 x - y = -11 | (equation 1) 2 x + 3 y = 5 | (equation 2) Subtract 1/2 × (equation 1) from equation 2: {4 x - y = -11 | (equation 1) 0 x+(7 y)/2 = 21/2 | (equation 2) Multiply equation 2 by 2/7: {4 x - y = -11 | (equation 1) 0 x+y = 3 | (equation 2) Add equation 2 to equation 1: {4 x+0 y = -8 | (equation 1) 0 x+y = 3 | (equation 2) Divide equation 1 by 4: {x+0 y = -2 | (equation 1) 0 x+y = 3 | (equation 2) Collect results: Answer: x = -2 , y = 3