1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lana [24]
2 years ago
12

What is 2x + 3y = 13 x = 2 + 3y

Mathematics
2 answers:
IgorC [24]2 years ago
4 0

Answer:

Step-by-step explanation:

Given that

2x+3y=13. Equation 1

x=2+3y. Equation 2

Using substitution method

Substitute x in equation 2 to equation 1

2x+3y=13

2(2+3y)+3y=13

4+6y+3y=13

4+9y=13

9y=13-4

9y=9

y=9/9

y=1.

To get x, substitute y=1 into equation 2

x=2+3y

x=2+3(1)

x=2+3

x=5

Then, x=5 and y=1 is the solution to the simultaneous equation

Zanzabum2 years ago
3 0

Answer:

y = 1

x = 5

Step-by-step explanation:

Substitute:

2(2 + 3y) + 3y = 13

Simplify:

4 + 6y + 3y = 13

Combine terms:

4 + 9y = 13

Subtract 4 from each side:

9y = 9

Divide by 9:

y = 1

Substitute:

x = 2 + 3(1)

Simplify:

x = 2 + 3

Combine terms:

x = 5

Check with original equation:

2(5) + 3(1) = 13

Simplify:

10 + 3 = 13

Combine terms:

13 = 13

It works!

You might be interested in
A rectangle has a perimeter of 200m. The length to width ratio is 3:2. Find the LENGTH
Lapatulllka [165]

Answer:

length = 60m

Step-by-step explanation:

let '3x' = length

let '2x' = width

3x + 3x + 2x + 2x = 200

10x = 200

x = 20

length = 3x = 3(20) = 60

4 0
3 years ago
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
I need question a and b done pls help
FrozenT [24]

Answer:

A. 5

B. 12

Step-by-step explanation:

What you do is you substitute -2 into the a and the 3 into the b.

a. 3(-2)^2-5(3)+8                       b. 2/3(3)-5(-2)

3(4)-15+8                                   2-(-10)

12-15+8                                      12 is your answer.

-3+8

5 is your answer.

8 0
3 years ago
Read 2 more answers
Joey sells cars at Orange City Ford. He earns $350 a week plus $200 per car he sells. If he earned $1550 last week, how many car
Vladimir [108]

Answer:

Joey sold 6 cars

Step-by-step explanation:

Joey earns $350 per week + $200 per car he sells

The number of cars that he sold last week is unknown, so represent it with a variable, x.

Write an equation

$350 + $200x = $1,550

Subtract $350 from both sides of this equation

$200x = $1200

Divide both sides of the equation by 200

x = 6

Joey sold 6 cars

Hope this helps :)

7 0
3 years ago
Can someone please help
Andru [333]
A) Growth: f(x) because it is getting larger exponentially due to an integer greater than 1 being raised to an exponent. 

b) Decay: g(x) because it is getting smaller exponentially due to an integer less than 1 being raised to an exponent. 

c) Have the lead exponent being not equal to 1. 

d) Whether or not the number being raised to the exponent is greater than or less than 1. 

e) f(x) because it is an exponential growth function, which none of the others are. 
4 0
3 years ago
Other questions:
  • A safety regulation states that the maximum angle of elevation for a rescue ladder is 72°. A fire department's longest ladder is
    7·2 answers
  • How do you prove #sin 5pi/12 = sin pi/6 cos pi/4 + cos pi/6 sin pi/4#?
    12·1 answer
  • The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
    10·1 answer
  • Simplify the expression. Justify each step.
    13·1 answer
  • 4 out of 65 propale who visit the store will receive a free DVD . If 455 people visit the store how many DVDs were given away
    5·1 answer
  • Hello, could someone answer this question for me please? <br> simplify (1 + i) + (-2 + i).
    7·1 answer
  • Explain how to write a composite function to find<br> the area of the region at time t.
    7·1 answer
  • The table shows the linear relationship between the average height in feet of trees on a tree farm and the number of years till
    13·1 answer
  • Help please thank you
    5·1 answer
  • What is the value of the last digit in 3,500.45
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!