Ask question

Ask question

All categories

sweet-ann [11.9K]

3 years ago

7

Find the solution of this system of two linear equations using substitution 11x+3y=103 and y =3x+1

1 answer:

Lesechka [4]3 years ago

8 0

11x+3y=103 and y=3x+1.

11x+3(3x+1)=103 -----> plug in (3x+1) for y in the first equation. You will want to distribute the 3 to the 3x+1 to get something that looks like:

11x+9x+3=103 ------> now you want to combine like terms

20x+3=103 ---> subtract 3 from both sides
20x=100 ----> divide both sides by 20
x=5

y=3(5)+1 ---> I like to plug in this to the equation that already has y isolated. 3*5 is 15, add 1 and you find that y=16.

(5, 16) will be your final answer (:

You might be interested in

Madelyn hopped 12 times in 15 seconds. What's her speed hops per minute

Fynjy0 [20]

Answer:

48 hops/minute

Step-by-step explanation:

12 hops/15 seconds * 60 seconds/1 minute = 720 hops/15 minutes

simplify: 48 hops/minute

3 0

2 years ago

Peter went bowling, Monday to Friday, two weeks in a row. He only bowled one game each time he went. He kept track of his scores

dlinn [17]

Picture?? Or I can’t help you

5 0

2 years ago

The weight Wkg of a metal bar varies jointly

maria [59]

Answer:

d = $\sqrt{\frac{216W}{35L} }$

Step-by-step explanation:

Given that W varies jointly as L and d² then the equation relating them is

W = kLd² ← k is the constant of variation

To find k use the condition W = 140 when d = 4 and L = 54, thus

140 = k × 54 × 4² = 864k ( divide both sides by 864 )

$\frac{140}{864}$ = k , that is

k = $\frac{35}{216}$

W = $\frac{35}{216}$ Ld² ← equation of variation

Multiply both sides by 216

216W = 35Ld² ( divide both sides by 35L )

$\frac{216W}{35L}$ = d² ( take the square root of both sides )

d = $\sqrt{\frac{216W}{35L} }$

6 0

2 years ago

Dissasamble trinom!<br> Number 3

valentina_108 [34]

Look at the picture......

6 0

3 years ago

THE NUMBER 1-10 ARE IN A BAG, YOU TAKE 2 OUT WITHOUT REPLACEMENT. WHAT IS THE PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME

ehidna [41]

Answer:

1 / 18

Step-by-step explanation:

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome = 1

Total number of outcome (1,2,3,4,5,6,7,8,9,10) = 10

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME = 1 / 10

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = Number of favorable outcome / Total number of outcomes

Favorable outcome (2,4,6,8,10) = 5

Total number of outcomes (1,2,3,4,5,6,8,9,10) = 9

PROBABILITY OF DRAWING AN EVEN NUMBER THE SECOND TIME = 5/9

PROBABILITY OF DRAWING THE NUMBER 7 THE FIRST TIME AND THEN DRAWING AN EVEN NUMBER = 1 / 10 * 5 / 9 = 1 / 18

6 0

3 years ago