Solve the system of equations. 4x+y=16 2x+3y=18

Trent Carpenter 2021-02-04 Answered
Solve the system of equations.
4x+y=16
2x+3y=18
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Arnold Odonnell
Answered 2021-02-05 Author has 109 answers

Step 1
To solve the given equations by substitution method.
Step 2
Given information:
4x+y=16...(1)
2x+3y=18...(2)
Step 3
Calculation:
Simplify equation (1).
4x+y=16...(1)
4x-4x+y=16-4x [Subtract 4x math frakom both sides]
y=16-4x...(3)
Step 4
Substitute y=16-4x in equation (1).
2x+3y=18
2x+3(16-4x)=18
2x+48-12x=18
-10x+48=18 [plify]
-10x=18-48 [subset tract 48 mathfrakom both sides]
-10x=-30
x=3010[÷by(10)math frakom both sides]
x=3
Step 5
Substitute x= 3 in equation (3).
y=16-4x...(3)
y=16-4(3)
y=16-12
y=4
Thus, the solution of system equations is x= 3 and y= 4.

Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2021-11-08 Author has 2064 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more