Mathematics, 30.01.2021 04:40 angiechill

Solve the system:
y = -2x + 9
y = 3x + 9

Answers: 1

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Answers

Answer from: ctyrector

(0, 9)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

to Right

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtract Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -2x + 9

y = 3x + 9

Step 2: Solve for x

Substitution

Substitute in y: 3x + 9 = -2x + 9[Addition Property of Equality] Add 2x on both sides: 5x + 9 = 9[Subtraction Property of Equality] Subtract 9 on both sides: 5x = 0[Division Property of Equality] Divide 5 on both sides: x = 0

Step 3: Solve for y

Define equation: y = -2x + 9Substitute in x: y = -2(0) + 9Multiply: y = 0 + 9Add: y = 9

Answer from: Quest

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x : 0 5

y : 5 0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x : 0 2

y : -1 4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

Answer from: Quest

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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Solve the system:
y = -2x + 9
y = 3x + 9...

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