Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.
-6x - 5y = 1
30x - 25y = 4
A)(1, 4)
B)(5, 4)
C)
$\left( \frac { 5 } { 36 } , \frac { 1 } { 6 } \right)$
D)no solution

Question

Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.
-6x - 5y = 1 
30x - 25y = 4
A)(1, 4)
B)(5, 4) 
C)
$\left( \frac { 5 } { 36 } , \frac { 1 } { 6 } \right)$
D)no solution

Quizplus · Accepted Answer

The two equations are actually multiples of each other. The second equation is 5 times the first equation. However, when you compare the constants (1 and 4), they do not scale by the same factor, indicating that there is no solution to this system of equations.

Use the Substitution Method or the Elimination Method to Solve (536,16)\left( \frac { 5 } { 36 } , \frac { 1 } { 6 } \right)(365​,61​)

Use the Substitution Method or the Elimination Method to Solve $\left( \frac { 5 } { 36 } , \frac { 1 } { 6 } \right)$