Question

Determine if (-1,2) is a
solution to the system
(2x + 5y = 8
(3x - 2y = 5

Answer 1

Not a solution.

General Formulas and Concepts:

Order of Operations: BPEMDAS

Explanation:

Step 1: Define

`\left \{ {{2x+5y=8} \atop {3x-2y=5}} \right.`

(-1, 2)

Step 2: Substitute and Check

1. Substitute:
   `\left \{ {{2(-1)+5(2)=8} \atop {3(-1)-2(2)=5}} \right.`
2. Multiply:
   `\left \{ {{-2+10=8} \atop {-3-4=5}} \right.`
3. Combine:
   `\left \{ {{8=8} \atop {-7=5}} \right.`

We see here that -7 ≠ 5. Therefore, (-1, 2) is not a solution of the systems of equations.