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3 years ago

What is the solution (a, b) to this system of linear equations?

Mathematics

2 answers:

jeka57 [31]3 years ago

6 0

Answer:

a=1, b=7. (1, 7).

Step-by-step explanation:

3a+6b=45

2a-2b=-12

-----------------

simplify 3a+6b=45 into a+2b=15

and 2a-2b=-12 into a-b=-6

--------------------

a+2b=15

a-b=-6

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a+2b=15

-(a-b)=-(-6)

-----------------

a+2b=15

-a+b=6

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3b=21

b=21/3

b=7

a+2(7)=15

a+14=15

a=15-14

a=1

lys-0071 [83]3 years ago

4 0

Answer:

the ansewer is (C)(1,7)

Step-by-step explanation:

hope it helps

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While Brendan is vacationing with his family at the cabin, they take a motorboat on the river. The motorboat travels

taurus [48]

Part 1: The speed of the boat traveling downstream is $(18+w)$ miles per hr.

The speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part 2: The speed of the current is 4 miles per hour.

Explanation:

Part (1): The motorboat travels 18 miles per hour in still.

Let w represents the speed of the current.

When the boat travels downstream, the speed of the current will get added to the speed of the boat.

Thus, the expression can be written as $(18+w)$ miles per hr

Hence, the speed of the boat traveling downstream is $(18+w)$ miles per hr.

When the boat travels upstream, the speed of the current will get subtracted to the speed of the boat.

Thus, the expression can be written as $(18-w)$ miles per hr.

Hence, the speed of the boat traveling upstream is $(18-w)$ miles per hr.

Part (2): The boat travels 49 miles upstream in the same time it takes to travel 77 miles downstream.

The distance formula is given by $distance $=$ speed $\times$ time$

Substituting, we have,

$49=(18-w)t\\49=18t-wt$ ---------------(1)

$77=(18+w)t\\77=18t+wt$ ---------------(2)

Solving using elimination method,

$49=18 t-w t\\77=18 t+w t\\-------\\126=36t$

Dividing both sides by 36, we have,

$t=3.5$

Substituting $t=3.5$ in $49=18 t-w t$ , we get,

$49=18(3.5)-w (3.5)\\$

$49=63-3.5w\\$

$-14=-3.5w\\$

$4=w$

Thus, the speed of the current is $w=4$ miles per hour.

5 0

4 years ago

Answer as much as you can

Basile [38]

Answer:

1. 405

2. 153

3. -35

4. 132

Step-by-step explanation:

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2 years ago

Consider this equation: 2x + 2 = 11 - x

77julia77 [94]

Addition bc. you need adding to both sides x and will get this result of 3x+2 = 11

hope helped

4 0

4 years ago

Read 2 more answers

Kim spends 10 minutes Washing her car Denzel spends 3 times as many minutes (d) Washing his car as Kim spends .

Bingel [31]

Answer is 30

Step-by-step explanation:

to get 30 we need to multiply 10 by 3 which gives is the answer your looking for

7 0

2 years ago

Find an equation for the line with the given properties. Express the equation in? slope-intercept form. Slope? = 6 ?; containing

Firlakuza [10]

Answer:

y=6x+7

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and can find the slope.

Point slope: $y-y_1=m(x-x_1)$

We will substitute $m=6$ and $x_1=-1\\y_1=1$ .

$y-1=6 (x-(-1))$

We can simplify and convert to slope intercept form.

$y-1=6 (x-(-1))\\y-1=6(x+1)\\y-1=6x+6\\y=6x+6+1\\y=6x+7$

3 0

3 years ago