Question

Tell whether the ordered pair (−1, 4) is a solution of the system.

-2x-3y=-10
-3x+y=7
True or False

Answer 1

True because when you substitute the x coordinate to find the value of y =4 and the coordinate is 4

Answer 2

True

Explanation:

`\left \{ {{-2x-3y=-10} \atop {-3x+y=7}} \right.`

Rearrange like terms to the same side of the equation:

`\left \{ {{-2x-3y=-10} \atop {y=7+3x}} \right.`

Substitute into one of the equations:

`-2x-3(7+3x)=-10`

Apply the Distributive Property:

`-2x-21-9x=-10`

Combine like terms:

`-11x-21=-10`

Rearrange variables to the left side of the equation:

`-11x=-10+21`

Calculate the sum or difference:

`-11x=11`

Divide both sides of the equation by the coefficient of variable:

`x=-(11)/(11)`

Cross out the common factor:

`x=-1`

Substitute into one of the equations:

`y=7+3` ×
`(-1)`

Calculate:

`y=4`

The solution of the system is:

`\left \{ {{x=-1} \atop {y=4}} \right.`

Express solutions in ordered pairs:

`(-1,4)`

Determine whether
`(-1,4)` and
`(-1,4)` are equivalent:

True