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3 years ago

What is the solution to y = x + 2 and y = 3x – 2 and how do you know? PLEASE HELPPPPP! THANK U!

Mathematics

2 answers:

Nutka1998 [239]3 years ago

5 0

Answer:

(2,4)

Step-by-step explanation:

We have the system:

y=x+2

y=3x-2.

This is already setup for substitution.

I'm going to replace my first y with what the second y equals.

That is, I'm going to write 3x-2=x+2.

Time to solve the following for x:

3x-2=x+2

Subtract x on both sides:

2x-2= 2

Add 2 on both sides:

2x. = 4

Divide both sides by 2:

x. = 2

Now that we know x=2 and we have an equation that relates x to y: either y=x+2 or y=3x-2, doesn't matter which we use, we can find y.

So we y=x+2 with x=2 which means y=2+2=4.

So the solution, the intersection, is (2,4).

egoroff_w [7]3 years ago

4 0

Answer:

(2, 4 )

Step-by-step explanation:

Given the 2 equations

y = x + 2 → (1)

y = 3x - 2 → (2)

Substitute y = 3x - 2 into (1)

3x - 2 = x + 2 ( subtract x from both sides )

2x - 2 = 2 ( add 2 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

Substitute x = 2 into (1) for the corresponding value of y

y = x + 2 = 2 + 2 = 4

As a check

Substitute x = 2 into the 2 equations and check validity

(1) → y = 2 + 2 = 4 ← Correct

(2) → y = (3 × 2) - 2 = 6 - 2 = 4 ← Correct

Solution is (2, 4 )

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Convert the angle 0 = 228° to radians.<br> Express your answer exactly.

Blizzard [7]

Answer:

$\frac{19 \pi}{15}$

Step-by-step explanation:

To convert a given angle from degrees to radians, we multiply by

$\frac{ \pi}{180}$

The given degree measure is 228°

Its radian equivalence is

$\frac{ \pi}{180} \times 228 = \frac{19 \pi}{15}$

Therefore the exact value of 228° is

$\frac{19 \pi}{15} \: radians$

6 0

4 years ago

Pls helppppppppp!!!!!!!!!! (Jesus loves u)

WARRIOR [948]

So the first one would be 171/50 and the second would be -7/20

5 0

3 years ago

Read 2 more answers

Alyssa works as a sales representative in an electronics store. She earns a fixed daily wage plus a commission on the sales she

n200080 [17]

a) The slope of the line relating Alyssa's sales to earnings is given by
slope = (change in earnings)/(change in sales)
Using the first two table entries, the slope is calculated as
slope = (110 -80)/(200 -10) = 30/200 = 0.15

The first entry in the table shows the y-intercept, the value of earnings (80) for zero sales. The slope-intercept form of the equation for a line is
y = slope*x + y-intercept

To answer the first question, we put the slope and intercept values in the appropriate spots in the equation.

The equation that gives Alyssa's daily earnings based on her total sales is
y = 0.15x +80

b) The y-intercept of the line represents the part of Alyssa's earnings that doesn't depend on sales. It is Alyssa's fixed daily wage.

c) The slope of the equation represents Alyssa's commission rate.

d) The y-intercept is 80.

6 0

3 years ago

What does the slope formula mean

Virty [35]

Answer:

I honestly used google.

Step-by-step explanation:

It means: In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".

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3 years ago

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Solve the system of equations.<br> 3x + y = 3 <br> x + y = 2

qwelly [4]

When solving system equations, we can use substitution method or elimination. Today I'm using substitution method.

First name the 2 equations.
3x + y = 3 (1)
x + y = 2 (2)

Now pick one equation and express one algebra in forms of the other.
From (2),
x = 2 - y (3)

Now substitute (3) into (1),
3(2-y) + y = 3
6 - 3y + y = 3
6 - 2y = 3
6 - 3 = 2y
y = 1.5

Now substitute y = 1.5 into (2)
x + 1. 5 = 2
x = 2 - 1.5
x = 0.5

Therefore the answer is x = 0.5 and y = 1.5

5 0

3 years ago