Question

For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation? (5 points) 3x + y = 8 −x − 2y = −10

Answer 1

x=-2y+10

Explanation:

Answer 2

`x=-2y+10`

Explanation:

We have been given a system of linear equation as:

`3x+y=8...(1)`

`-x-2y=-10...(2)`

To solve our system of equation by substitution method, we need to isolate x from equation (2).

First of all, we will multiply both sides our equation by -1 as shown below.
`-1(-x-2y)=-1\cdot -10`

`-1*-x-1*-2y=-1\cdot -10`

`x+2y=10`

Now, we will subtract 2y from both sides of our equation.

`x+2y-2y=10-2y`

`x=-2y+10`

Therefore, we need to substitute
`x=-2y+10` in equation (1) to solve our given system of equations.