PLSS HELP Solve each system using SUBSTITUTION. Remember to check!

2) y = –2x – 1

y = 3x – 16

(3, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = -2x - 1

y = 3x - 16

Step 2: Solve for x

Substitution

Step 3: Solve for y

Step 4: Graph Systems

We can check the solution set to the systems of equations.

Where the 2 lines intersect is the solution set to the systems of equations.

The 2 lines and our algebraically solved solution sets are the same.

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15