<PRE><B>Question 748050</B>
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 </PRE>