Question

Question 1 Solve the following system of equations without graphing: 4. + 5y = 22 4x + 10y = 8 Write your solution as an ordered pair ( ) (Remember: you want to eliminate one of the variables)

Answer 1

x=3

y=2

as an ordered pair

(3,2)

Step-by-step explanation

`\begin{gathered} 4x+5y=22 \\ -4x+10y=8 \end{gathered}`

Step 1

add equation (1) and equation(2)

`\begin{gathered} 4x+5y=22 \\ + \\ -4x+10y=8 \\ =0+15y=30 \\ 15y=30 \\ \text{divide both sides by 15} \\ y=(30)/(15) \\ y=2 \end{gathered}`

Step 2

now, replace the value of y =2 in equation (1) to find x

`\begin{gathered} 4x+5y=22 \\ 4x+5(2)=22 \\ 4x+10=22 \\ 4x=22-10 \\ 4x=12 \\ x=(12)/(4) \\ x=3 \end{gathered}`

I hope this helps you