All categories

3 years ago

Solve using substitution x = 3y + 1 2x + 4y = 12

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

4 0

Answer:

x = 4

y = 1

Step-by-step explanation:

x = 3y + 1 (Multiply everything by -2)

2x + 4y = 12 (Transfer 4y to the right of the = sign)

2x = -4y + 12

-2x = -6y - 2

0 = -10y + 10

-10 = -10y

y = 1

x = 3y + 1

x = 3(1) + 1

x = 3 + 1

x = 4

You might be interested in

You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com

Vladimir79 [104]

Answer:

2005 points

Step-by-step explanation:

1. 35x50=750

2. 2 min. 45 sec.=(-165 sec.)

3. 500x5=2500

4. 2500-495=2005

Hope this helped!!:)

6 0

3 years ago

Can i please get the answer to number 6 ?

IrinaVladis [17]

A full circle in radians is 2π, and in degrees it's 360°. I want to convert the 72° to radians:

72° in radians = 72/360 * 2π = 2/5π

The circumference of a full circle is the number of radians times the radius. (ie., 2πr), so the JK part of the circle is:

5* 2/5π simplifies to 2π

6 0

3 years ago

Please help me this will mark brainiest thx I will appreciate it thank you

Savatey [412]

Answer:

z=40 degrees

x=90 degrees

y=40 degrees

Step-by-step explanation:

To solve z you know that 50+90+z= 180 degrees. So z equals 40. To solve x you subtract 90 from 180 to get 90 degrees. To solve you add 50+x+y. You know that x= 90. You would add the angles together to get 180 degrees. 50+90=140 and 180-140 equals 40. Sorry if i'm wrong.

6 0

2 years ago

Simplify

OlgaM077 [116]

Answer:

see below

Step-by-step explanation:

$\frac{x-1}{x^2-3x+2}+ \frac{x-2}{x^2-5x+6} +\frac{x-5}{x^2-8x+15}$

we need to simplify that

$x^2-3x+2=(x-1)(x-2)\\\\x^2-5x+6=(x-2)(x-3)\\\\x^2-8x+15=(x-3)(x-5)$

so we can continue

$\frac{x-1}{(x-1)(x-2)}=\frac{1}{x-2}\\\\\frac{x-2}{(x-2)(x-3)} =\frac{1}{x-3}\\\\\frac{x-5}{(x-3)(x-5)} =\frac{1}{x-3}$

and we can put all together

$\frac{1}{x-2}+ \frac{1}{x-3}+ \frac{1}{x-3}\\\\\frac{1}{x-2} +\frac{2}{x-3}\\\\\frac{x-3}{(x-3)(x-2)}+ \frac{2(x-2)}{(x-2)(x-3)} \\\\\frac{x-3+2x-4}{(x-3)(x-2)}\\\\\frac{3x-7}{x^2-5x+6}$

3 0

3 years ago

If a^2+b^2= 4 and ab = 5, what is the value of (a+b)^2? A. 10 B. 12 C. 14 D. 16

wlad13 [49]

Answer:

Step-by-step explanation:

(a+b)^2

(a+b)(a+b)

FOIL

a^2 + ab+ab + b^2

Combine like terms

a^2 +2ab + b^2

Rearranging

a^2+b^2 +2ab

We know a^2+b^2 = 4 and ab= 5

4 + 2(5)

4+10

5 0

3 years ago

Read 2 more answers

Solve using substitution x = 3y + 1 2x + 4y = 12​

Solve using substitution x = 3y + 1 2x + 4y = 12