Solve using any algebraic method.a−14c=3c+4a=4Select the correct choice below and ,if necessary,fill in the answer box to complete your choice.A. The solution is ____ . (Type an ordered pair.)B. THere are infinitely many solutions.The solution set is(x,y)∣a−14c=3&nbsp;or&nbsp;c+4a=4C. There is no solution.

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Solve using any algebraic method.a−14c=3c+4a=4Select the correct choice below and ,if necessary,fill in the answer box to complete your choice.A. The solution is ____ . (Type an ordered pair.)B. THere are infinitely many solutions.The solution set is(x,y)∣a−14c=3&amp;nbsp;or&amp;nbsp;c+4a=4C. There is no solution.

Regan Gallegos · Accepted Answer

Step1: Given,The system of equationa−14c=3c+4a=4We have to solve this system by using any algebraicmethods.Step 2: ExplanationWe use a substitute method to solve the given system. From the first equation we havea−14c=3⇒14c=a−3⇒c=4(a−3)Put this value in the second equation,we getc+4a=44(a−3)+4a=44a−12+4a=48a=4+128a=16a=168a=2Now,&amp;nbsp;∵c=4(a−3)=4(2−3)=4×(−1)=−Hence the given system has unique solution and the solution is&amp;nbsp;a=2&amp;nbsp;and&amp;nbsp;c=−4.Option(a) is correct.

Solve using any algebraic method. \(\displaystyle{a}-{\frac{{{1}}}{{{4}}}}{c}={3}\) PSKc+4a=4ZKS Select the correct

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