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3 years ago

Solve the following system of equations. 2x + y = 3 x = 2y - 1

2 answers:

8 0

Using the substitution method.

2x + y = 3
x = 2y -1 Since x has been isolated already plug it into Equation 1

2(2y - 1) + y = 3 Solve for y.
4y - 2 + y = 3
 +2 +2 Combine like terms and isolate y.
4y + y = 5
5y = 5 Isolate y by dividing both sides by 5
5y/5 = 5/5
y = 1

With y solved, solve either system for x.

x = 2(1) - 1
x = 2-1
x = 1

Solution is (1,1)

Shalnov [3]3 years ago

7 0

2(2y-1)+y=3
y=1
x=2 x1 - 1
x=1

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kati45 [8]

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3 years ago

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I have tried different attempts but still can’t solve it

zloy xaker [14]

Hello!

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Hope this helps!

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3 years ago

F(x)=3x-3 g(x) 3x^3+5 Find F(-3) and g(-2)

astra-53 [7]

Answer:

f(-3) = -12

g(-2) = -19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 3

g(x) = 3x³ + 5

f(-3) is x = -3 for function f(x)

g(-2) is x = -2 for function g(x)

Step 2: Evaluate

f(-3)

Substitute in x [Function f(x)]: f(-3) = 3(-3) - 3
Multiply: f(-3) = -9 - 3
Subtract: f(-3) = -12

g(-2)

Substitute in x [Function g(x)]: g(-2) = 3(-2)³ + 5
Exponents: g(-2) = 3(-8) + 5
Multiply: g(-2) = -24 + 5
Add: g(-2) = -19

4 0

3 years ago

Read 2 more answers

What is the equation of a line that has a y-intercept of 4 and an x-intercept of -2?

Furkat [3]

Answer:

y = 2x + 4

Step-by-step explanation:

Two points on this line are (-2, 0) and (0, 4). Going from the first to the second, x increases by 2 (this is the 'run') and y increases by 4 ('rise').

Thus, the slope of this line is m = rise / run = 4/2 = 2

Using the slope-intercept formula, we get y = mx + b = 2x + b

Let x = -2 and y = 0 to find b: 0 = 2(-2) + b, so b = 4, and the desired equation is then:

y = 2x + 4

6 0

3 years ago

The level of a lake in inches is falling linearly . The lake level is 452 inches on Jan 1 and then 378 inches on Jan 21. Find a

Marysya12 [62]

Answer:

$y=-\frac{74}{21}x+452$

Step-by-step explanation:

Given:

The level of a lake is falling linearly.

On Jan 1, the level is 452 inches

On Jan 21, the level is 378 inches.

Now, a linear function can be represented in the form:

$y=mx+b$

Where, 'm' is the rate of change and 'b' is initial level

$x\to number\ of\ days\ passed\ since\ Jan\ 1$

$y\to Lake\ level$

So, let Jan 1 corresponds to the initial level and thus b = 452 in

Now, the rate of change is given as the ratio of the change in level of lake to the number of days passed.

So, from Jan 1 to Jan 21, the days passed is 21.

Change in level = Level on Jan 21 - Level on Jan 1

Change in level = 378 in - 452 in = -74 in

Now, rate of change is given as:

$m=\frac{-74}{21}$

Hence, the function to represent the lake level is $y=-\frac{74}{21}x+452$

Where, 'x' is the number of days passed since Jan 1.

8 0

3 years ago