Question

Solve the given system, using the substitution method.



y = 3x – 7
6x – 2y = 12




There is no solution.


(12, 14)



(14, 12)



There are an infinite number of solutions

Answer 1

The eqn has no solution.
\[a _{1} / b _{1} = a _{2} / b _{2} \neq a _{3} / b _{3}\]
is the condition for no solution. a1 , a2,b1,b2 are coefficients before x and y respectively and a3, b3, are constants for the two eqns.

Answer 2

Solve, using the substitution method.



3x + 2y = 11
x – 2 = – 4y

Answer 3

Okay.
\[x-2/ -4 = y\]
\[2-x / 4 = y\]
\[3x + 2 { ( 2-x) /4 } = 11\]
\[3x + (2-x)/2 = 11\]
\[6x + 2 -x = 22\]
\[5x = 20\]
\[x =4\]

Answer 4

Solve, using the substitution method.

y + 2x = 7
14 – 4x = 2y



The solution is (1, 5)



The solution is (21, 0)



There are an infinite number of solutions.



There is no solution.