Will someone walk me through this? (Solve by elimination) Equation 1 : 7x - 2y = 37 Equation 2: 4x + y = 19
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the equation:
4x + y = 19
Can be written as,
4x + y - 19 (equation 1)
7x - 2y = 37
Can be written asn
7x - 2y - 37 (equation 2)
Solve using elimination.
Solution:
In order to solve the given problem using elimination, we simply needed to equate the two vaues into one equation.
4x + y - 19 = 7x - 2y - 37
Transpose the value of 7x - 2y - 37 to the opposite side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
= 4x + y - 19 - 7x + 2y+ 37
Combine similar terms
= -3x + 3y + 18
Factor out 3 from the equation.
= 3(-x + y + 6)
Final answer:
= 3(-x + y + 6)