SOLUTION: Use the substitution method to solve the linear system given. Express the answer as an ordered pair of the form (x,y) x + y = 5 2x + y = 6

Algebra.Com
Question 388391: Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
x + y = 5
2x + y = 6

Answer by gotpork1(3)   (Show Source): You can put this solution on YOUR website!
Use the substitution method to solve the linear system given. Express
the answer as an ordered pair of the form (x,y)
eq.1: x + y = 5
eq.2: 2x + y = 6

Step 1: Isolate for x or y in eq.1
x + y = 5
x = 5 - y

Step 2: Substitute x = 5 - y into eq.2
2x + y = 6
2(5 - y) + y = 6
(expand and simplify)
10 - 2y + y = 6
-1y = -4
y = 4


Step 3: Substitute y = 4 into eq.1
x + y = 5
x + (4) = 5
x = 5 - 4
x = 1


Therefore the solution is (1,4)

RELATED QUESTIONS

Use the substitution method to solve the linear system given. Express the answer as... (answered by checkley77)
Use the substitution method to solve the linear system given. Express the answer as... (answered by unlockmath,PRMath)
Use the substitution method to solve the linear system given. Express the answer as (answered by ewatrrr)
Use the substitution method to solve the linear system given. Express the answer as... (answered by drj)
Use the substitution method to solve the linear system given. Express the answer as... (answered by actuary)
system of liner equations and inequalities. Use the substitution method to solve the... (answered by solver91311)
How Do I solve This? Use the substitution method to solve the linear system given.... (answered by drj)
Use the substitution method to solve the linear system given. Express the answer as an... (answered by texttutoring,richard1234)
Use the Substitution method to solve the system of equations. Give your answer as an... (answered by funmath)