Mathematics, 06.07.2021 22:00 syd6702

Solve each system of equations by substitution. Clearly identify your solution.

Answers: 2

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Answer from: lasagnafoe

(-3, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = x + 8

x + y = 2

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: x + x + 8 = 2Combine like terms: 2x + 8 = 2[Subtraction Property of Equality] Subtract 8 on both sides: 2x = -6[Division Property of Equality] Divide 2 on both sides: x = -3

Step 3: Solve for y

Substitute in x [1st Equation]: y = -3 + 8Add: y = 5

Answer from: jaylafennell101

x = - 3

y = 5

Step-by-step explanation:

y = x + 8 (I)

x + y = 2 (II)

Substitute y = x + 8 in equation (II)

x + x + 8 = 2

Combine like terms

2x + 8 = 2

Subtract r from both sides

2x = 2- 8

2x = -6

Divide both sides by 2

x = -6/2

x = -3

Plug in x = -3 in equation (I)

y = -3 + 8

y = 5

Answer from: Quest

y=mx+b

step-by-step explanation:

m is slope, b is y-intercept

Answer from: Quest

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = $\frac{-5-4}{3-0}$ = $\frac{-9}{3}$ = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

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Solve each system of equations by substitution. Clearly identify your solution.
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