Solve the system of equations using the addition/elimination method. 4x+3y=15 2x-5y=1

Tahmid Knox

Tahmid Knox

Answered question

2021-04-02

Solve the system of equations using the addition/elimination method.
4x+3y=15
2x-5y=1

Answer & Explanation

Laaibah Pitt

Laaibah Pitt

Skilled2021-04-04Added 98 answers

Step 1
To solve the system equations.
Step 2
Given infromation:
4x+3y=15
2x-5y=1
Step 3
Calculation:
Solve the equation by elimination method.
4x+3y=15...(1)
2x-5y=1...(2)
Multiply by 2 in equation 2 and subtract from equation 1.
4x+3y=15
2(2x-5y=1)
- + - on subtracting
4x-4x+3y+10y=15-2
Combine like terms.
13y=13
13y13=1313 (divide by 13)
y=1
Step 4
Substitute y=1 in equation 1.
4x+3y=15...(1)
4x+3(1)=15
4x+3=15
4x=15-3 (subtract 3 from both sides)
4x=12
4x4=124 (divide by 4)
x=3
Thus, the solution is x= 3 and y =1.
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-20Added 2605 answers

Answer is given below (on video)

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