All categories

4 years ago

I need help solving systems of linear equations by substitution.

Mathematics

1 answer:

e-lub [12.9K]4 years ago

5 0

Answer:

x = 2 and y = 1

Step-by-step explanation:

4x = 5+3

4x = 8

x = 8/4

x= 2

so substitute the value of x in the second problem

-8(2) + 6y = -10

-16 + 6y = -10

6y= -10 + 16

6y= 6

y= 6/6

y = 1

You might be interested in

A die is rolled 2 times. What is the probability of getting a 2 on the first roll and a 5 on the second roll?

lisov135 [29]

Answer:

1/36

Step-by-step explanation:

the chance of rolling a 2 on a 6-sided die is 1/6 and rolling a 5 on a 6-sided is also 1/6.

So, 1/6 * 1/6 = 1/36

Hope this is helpful

8 0

3 years ago

Read 2 more answers

In the right triangle shown, \angle B = 60^\circ∠B=60

Liono4ka [1.6K]

Answer:

Part 1) $AC=6\sqrt{3}\ units$

Part 2) $AC=12\sqrt{3}\ units$

Step-by-step explanation:

I will analyze two problems

see the attached figure to better understand the problem

Problem 1

The hypotenuse is the segment AB and the right angle is C

we know that

In the right triangle ABC

$sin(B)=\frac{AC}{AB}$ ---> by SOH (opposite side divided by the hypotenuse)

substitute the given values

$sin(60^o)=\frac{AC}{12}$

Remember that

$sin(60^o)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{AC}{12}$

$AC=6\sqrt{3}\ units$

Problem 2

The hypotenuse is the segment BC and the right angle is A

we know that

In the right triangle ABC

$tan(B)=\frac{AC}{AB}$ ---> by TOA (opposite side divided by the adjacent side)

substitute the given values

$tan(60^o)=\frac{AC}{12}$

Remember that

$tan(60^o)=\sqrt{3}$

substitute

$\sqrt{3}=\frac{AC}{12}$

$AC=12\sqrt{3}\ units$

5 0

3 years ago

Free PTS_______<br>free

EleoNora [17]

Answer:

thank you

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Fixed Object Involved in Collision Number of Collisions Pole/post 1,416 Culvert/curb/ditch 2,516 Shrubbery/tree 2,585 Guardrail

Genrish500 [490]

Answer:

0.1358 = 13.58% probability of a fatal collision with a pole or post

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

1416 collisions with pole or post.

1416 + 2516 + 2585 + 896 + 947 + 231 + 1835 = 10426 total collisions.

a. What is the probability of a fatal collision with a pole or post?

$p = \frac{1416}{10426} = 0.1358$

0.1358 = 13.58% probability of a fatal collision with a pole or post

3 0

3 years ago

On a piece of paper graph y=-2x-3. then determine which answer matches the graph you drew

erica [24]

Answer:

The graph that matches is D.

7 0

3 years ago