Question

Solve the following system using the substitution method. Enter your answer as an ordered pair in the form (x,y). 3x-2y=55x+10y=35

Answer 1

System of equations

• Equation 1

`3x-2y=5`

• Equation 2

`5x+10y=35`

Procedure

Solving the system by substitution.

0. Isolating ,x ,from equation 2:

`5x=35-10y`
`x=(35)/(5)-(10y)/(5)`
`x=7-2y`

2. Replacing the expression of x obtained in equation 1:

`3\cdot(7-2y)-2y=5`

3. Simplifying:

`21-6y-2y=5`
`-8y=5-21`
`y=(-16)/(-8)`
`y=2`

4. Finally, we replace this value in the isolated expression of x and solve it:

`x=7-2\cdot(2)`
`x=7-4`
`x=3`

Answer: (3, 2)