Question

Solve the system of equations using the substitution method. y=2+1/4x,

3x−5y=−3

Enter your answer in the boxes.

(_____,____)

Answer 1

Answer: (4,3)

Explanation:

1. In this method you must solve one of the equation for one of the variables and substitute it into the other equation to find the other variable. Then, substitute the value of that variable into one of the original equation to obtain the value of the other one.

2 You have that:

`y=2+1/4x`

3. Then, you can substitute it into the other equation and solve for x:

`3x-5(2+1/4x)=-3\\3x-10-5/4x=-3\\7/4x=7\\x=4`

4. Now you can obtain y:

`y=2+1/4x`

`y=2+1/4(4)\\y=3`

5. The answer is:

(4,3)