SOLUTION: 4x - 7y = -23 8x +5y = 49 solve the system of equations and enter the solution as an ordered pair

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Question 748050: 4x - 7y = -23
8x +5y = 49
solve the system of equations and enter the solution as an ordered pair
Answer by lenny460(1073) About Me  (Show Source):
You can put this solution on YOUR website!
4x - 7y = -23
8x + 5y = 49
Solve the system of equations and enter the solution as an ordered pair.
Multiply the first equation by 5 and the second equation by 7.
We then get:
20x - 35 y = -115
56x + 35y = 343

We use the Addition Method:

20x - 35y + 56x + 35y = -115 + 343
Combine like terms:
20x + 56x = 76x
-35y + 35y = 0
-115 + 343 = 228

Therefore:
76x = 228
x = 3

Substitute x = 3 into the original second equation.
8x + 5y = 49
8(3) + 5y = 49
24 + 5y = 49
Subtract 24 from each side of the equation.
5y = 25
y = 5




Answer:
x = 3 and
y = 5








Lennox Obuong
Algebra Tutor
Nairobi, Kenya
Email: obuong3@aol.com