Mathematics, 24.01.2020 02:31 scully1442

What is the solution of the system? y= 10x - 3 y= 7x + 2

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Answers

Answer from: ggujjnh

(5/3, 41/3)

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

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define Systems

y = 10x - 3

y = 7x + 2

Step 2: Solve for x

Substitution

Substitute in y: 10x - 3 = 7x + 2[Subtraction Property of Equality] Subtract 7x on both sides: 3x - 3 = 2[Addition Property of Equality] Add 3 on both sides: 3x = 5[Division Property of Equality] Divide 3 on both sides: x = 5/3

Step 3: Solve for y

Define original equation: y = 7x + 2Substitute in x: y = 7(5/3) + 2Multiply: y = 35/3 + 2Add: y = 41/3

Step 4: Check

Verify the solution set to the systems of equations by graphing the systems.

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

We see graphically that point (1.666667, 13.66667), equivalent to (5/3, 41/3).

∴ (5/3, 41/3) or x = 5/3 and y = 41/3 is the solution to the systems of equations.

What is the solution of the system? y= 10x - 3 y= 7x + 2

Answer from: Quest

the formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

from a table we have

$x_1=-4,\ y_1=7\\\\x_2=-2,\ y_2=5$

substitute:

$m=\dfrac{5-7}{-)}=\dfrac{-2}{2}=-1$

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

answer: the function g(x) has the greatest slope.
The functions, f(x) and g(x) , are shown below. x f(x) -4 7 -2 5 0 3 2 1 4 -1 which function has the

Answer from: Quest

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 = (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3 = (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

Factor the expression given below. write each factor as a polynomial in descending order. enter expo

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