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3 years ago

Y=2x-3 y=x+2 system of equations

Mathematics

1 answer:

irina1246 [14]3 years ago

6 0

Answer:

x = 5

y = 7

Step-by-step explanation:

Since they are both equal to y, we can set them equal to each other.

2x - 3 = x + 2

Combine like terms and isolate the x.

x = 5

Plug in the x to either equation to get the value of y.

y = (5) + 2

y = 7

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In the summer term sal wlks to school starting soon after 7 am when the hour hand is at angle of 110 degrees to the minute hand.

Solnce55 [7]

Answer:

She walked for 46 minutes

Step-by-step explanation:

Given

When she leaves home

$h = 7am$

$\theta_1 = 110^o$

When she arrives at school

$H = 8am$

$\theta_2 = 110^o$

Required

Time to walk to school

First, we convert $\theta_1 = 110^o$ to minutes:

$\theta_1 = \frac{110}{6}$

$\theta_1 = 18.33$

$\theta_1 = 18$ --- approximated

From the question, we understand that she left home past 7.

This means that the difference between the hour hand (at 7) and the minutes hand is 18 minutes.

Also, the minute hand is between 0 and 30 minutes

Subtract 18 minutes from 30 minutes;

$Mins = 30-18=12$

She left home at 7:12am

Similarly;

$\theta_2 = \theta_1 = 18\ mins$

From the question, we understand that she arrived before 8.

This means that the difference between the hour hand (at 8) and the minutes hand is 18 minutes

Also, the minute hand is between 30 and 60 minutes mark.

At the 8hour hand, the minutes is 40

Add 18 minutes from 40 minutes;

$Mins = 40 + 18 = 58$

She arrived at 7:58am

The difference (d) is:

$d =7:58am - 7:12am$

$d =46$

4 0

3 years ago

Solve the system by finding the determinants and using Cramer's Rule:2x - y = 43x + y = 1D= 10, Dx = 10, Dy=-20Answer: (1, -2)D

Nonamiya [84]

Find out the determinant

we have

2x-y=4

3x+y=1

D=(2)(1)-(-1)(3)

D=2+3

D=5

therefore

<h2>the answer is the second option</h2><h2>Verify</h2>

solution (1,-2)

equation 1 -------> 2(1)-(-2)=4 -------> 4=4 is true -----> is ok

equation 2 ------> 3(1)-2=1 -----> 1=1 ----> is true -----> is ok

7 0

1 year ago

Solve 2(y – 3) = 1.2 – y.

Ne4ueva [31]

First write down your equation. 2(y-3)=1.2-y. the distribute your 2. 2 times y is 2y and 2 times -3 is -6. now you have 2y-6=1.2-y. bring your y to the other side of the equation with the opposite sign and do the same with your 6. you have 2y+y=1.2+6. combine the like terms and constants. now you have 3y=7.2. divide bother sides of the equal by 3 to get y alone. 3y/3= 7.2/3. your answer is y=2.4.

6 0

3 years ago

Read 2 more answers

The length of LO if M is between L and O, LM = 7x – 9, MO = 14 inches, and LO = 10x – 7.

antiseptic1488 [7]

LM+MO=LO

7x-9+14=10x-7

7x+5=10x-7

7x-10x+5-5=10x-10x-7-5

-3x=-12

-3x/-3=-12/-3

x=4

10*4-7

=40-7

=33 in.

6 0

3 years ago

What is the inverse of the function f(x) = 4x + 8

Y_Kistochka [10]

Answer:

let f(x)= y

y = 4x+8

x= 4y + 8

4y = x - 8

y = (x - 8)/4

Hope this helps.

7 0

3 years ago

Read 2 more answers