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

Trent Carpenter

Trent Carpenter

Answered question

2021-02-04

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

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-02-05Added 109 answers

Step 1
Tto use the substitution method to solve the given equations.
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.

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-08Added 2605 answers

Answer is given below (on video)

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