Question

Which ordered pair is a solution to the system of equations?

2x - y = -2
15x – 2y = -7
(-1, 1)
o (2, – 6)
0 (-3, – 4)
(7, – 3)
What is the answer

Answer 1

2x-y=-2

• y=2x+2--(1)

15x-2y=-7

• 2y=15x+7
• y=15/2x+7/2

Equate both and solve

• 2x+2=15/2x+7/2
• 2x-15/2x=7/2-2
• 4x-15x/2=7-4/2
• 4x-15x=3
• -11x=3
• x=-3/11

Put in eq(1)

• y=1/11

Answer is None of the above

Answer 2

• See below

Explanation:

Given system:

• 2x - y = - 2
• 15x - 2y = - 7

Solve by elimination, multiply the first equation by - 2 and add up the equations:

• -2(2x - y) + 15x - 2y = - 2(- 2) - 7
• -4x + 2y + 15x - 2y = 4 - 7
• 11x = - 3
• x = - 3/11

Find the value of y:

• 2( - 3/11) - y = - 2
• -6/11 - y = - 2
• y = 2 - 6/11
• y = 1/11

Solution is:

• ( - 3/11, 1/11)

• None of the answer choices is matching this solution. Something must be wrong with the given equations.