All categories

3 years ago

Solve the following system of equations: y=2x + 1 y = -x+4x= ?y=?

Mathematics

1 answer:

patriot [66]3 years ago

4 0

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1, add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

You might be interested in

How to finish homework in a short period of time…??????????:$3$; i’m desperate lol

GuDViN [60]

Answer:

breath <3 Im in the same boat rn just calm down and believe in yourself

Step-by-step explanation:

get some snacks play music and relax

hope this helps <3 : )

7 0

3 years ago

A probability model includes P(red) = 27 2 7 and P(blue) = 314 3 14 . Which of the following probabilities could complete the mo

Ivahew [28]

Answer:

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

Step-by-step explanation:

Given

$P(Red) = \frac{2}{7}$

$P(Blue) = \frac{3}{14}$

Required

Which completes the model

Let the remaining probability be x.

Such that:

$P(Red) + P(Blue) + x = 1$

Make x the subject

$x = 1 - P(Red) - P(Blue)$

So, we have:

$x = 1 - \frac{2}{7} - \frac{3}{14}$

Solve

$x = \frac{14 - 4 - 3}{14}$

$x = \frac{7}{14}$

$x = \frac{1}{2}$

This mean that the remaining model must add up to 1/2

$(a)\ P(Green) = \frac{2}{7} ; P(Yellow) = \frac{2}{7}$

$P(Green) + P(Yellow)= \frac{2}{7} + \frac{2}{7}$

Take LCM

$P(Green) + P(Yellow)= \frac{2+2}{7}$

$P(Green) + P(Yellow)= \frac{4}{7}$

This is false because: $\frac{4}{7} \ne \frac{1}{2}$

$(b)\ P(Green) = \frac{3}{8} ; P(Yellow) = \frac{1}{8}$

$P(Green) + P(Yellow)= \frac{3}{8} + \frac{1}{8}$

Take LCM

$P(Green) + P(Yellow)= \frac{3+1}{8}$

$P(Green) + P(Yellow)= \frac{4}{8}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

$(c)\ P(Green) = \frac{1}{4} ; P(Yellow) = \frac{1}{4}$

$P(Green) + P(Yellow)= \frac{1}{4} + \frac{1}{4}$

Take LCM

$P(Green) + P(Yellow)= \frac{1+1}{4}$

$P(Green) + P(Yellow)= \frac{2}{4}$

$P(Green) + P(Yellow)= \frac{1}{2}$

This is true

Other options are also false

6 0

3 years ago

Read 2 more answers

A basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-p

Marina CMI [18]

Answer:

The team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

Step-by-step explanation:

Since a basketball team recently scored a total of 94 points on a combination of 2-point field goals, 3-point field goals, and 1-point foul shots, and altogether, the team made 52 baskets and 11 more 2-pointers than foul shots, to determine how many shots of each kind were made, the following calculations must be performed:

19 x 3 + 22 x 2 + 11 x 1 = 57 + 44 + 11 = 112

9 x 3 + 27 x 2 + 16 x 1 = 27 + 54 + 16 = 97

7 x 3 + 28 x 2 + 17 x 1 = 21 + 56 + 17 = 94

Therefore, the team converted 7 3-point shots, 28 2-point shots, and 17 foul shots.

7 0

3 years ago

Last year there were 20 girls on the volleyball team. This year the number of girls DECREASED by 10%. How many girls are on the

kykrilka [37]

Answer:

Step-by-step explanation:

There are 18 girls on the team this year.

If you take 20 and divide the number by 10 you will get 2.

10%=2

If you multiply 2x10 you get 20.

20-2=18

8 0

3 years ago

80% of what number is 12<br><br> PLEASE HELP

amid [387]

Divide it by 4 to get 20% which is 3 then mutiply it by 5 to get 15. Your answer is 15. Hope this helped.

5 0

3 years ago

Solve the following system of equations: y=2x + 1 y = -x+4x= ?y=?​

Solve the following system of equations: y=2x + 1 y = -x+4x= ?y=?