Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.

Question

-3x – 5y = 61
7x – 5y = -9

Answer 1

Eq1: -3X - 5Y = 61
Eq2: 7X - 5Y = -9
Multiply both sides of Eq1 by -1 and
add the 2 Eqs:
3X + 5Y = -61
7X - 5Y = -9

Sum: 10X = -70,
X = -70 / 10 = -7.

Substitute -7 for x in Eq2:
7*-7 - 5Y = -9,
-49 - 5Y = -9,
-5Y = -9 + 49 = 40,
Y = 40 / -5 = -8.

Solution set = (-7, -8).