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Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state thi...Asked by Betty
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-3x – 5y = 61
7x – 5y = -9
-3x – 5y = 61
7x – 5y = -9
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Answered by
Henry
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).
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).
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