Mathematics, 06.07.2021 22:10 aekent2003

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

Answers: 2

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Answers

Answer from: natimike10

(0, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

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 + 2

3x + 3y = 6

Step 2: Solve for x

Substitution

Substitute in y [2nd Equation]: 3x + 3(x + 2) = 6[Distributive Property] Distribute 3: 3x + 3x + 6 = 6Combine like terms: 6x + 6 = 6[Subtraction Property of Equality] Subtract 6 on both sides: 6x = 0[Division Property of Equality] Divide 6 on both sides: x = 0

Step 3: Solve for y

Substitute in x [1st Equation]: y = 0 + 2Add: y = 2

Answer from: emmeaw245

(0, 2)

Step-by-step explanation:

Since y is x + 2, we can replace y with x + 2

3x + 3y = 6

3x + 3(x+2) = 6

3x + 3x + 6 = 6

6x + 6 = 6

6x = 0

x = 0

y = x + 2

y = 2

Now we can check by replacing x with 0

3x + 3y = 6

3(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 2

Answer from: Quest

the answer is 200

step-by-step explanation:

the way the question is worded, it seems to imply the $264 interest is simple interest, not compound interest.

the simple interest for 2 years is $264; the simple interest for 1 year is $132.

$132 interest on a $600 investment means an interest rate of (132/600)*100 = 22%.

the value of $200 at 22% interest compounded annually for three years is

200%281.22%29%5e3

the amount of interest is that value, minus the original $200.

Answer from: Quest

question is incomplete.

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