Question

Is (1, 4) a solution to this system of equations? 8x + 3y = 20 x + 4y = 17

Answer 1

Answer:

Yes.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)
• Systems of Equations

Step-by-step explanation:

Step 1: Define

Identify

8x + 3y = 20

x + 4y = 17

(1, 4)

Step 2: Check

Plug and verify the coordinates is a solution.

1. Substitute in point [1st Equation]:                                                                    8(1) + 3(4) = 20
2. Multiply:                                                                                                             8 + 12 = 20
3. Add:                                                                                                                   20 = 20 $\checkmark$
4. Substitute in point [2nd Equation]:                                                                  1 + 4(4) = 17
5. Multiply:                                                                                                             1 + 16 = 17
6. Add:                                                                                                                   17 = 17 $\checkmark$

∴ Since both equations work out, (1, 4) is a solution to the systems of equations.