All categories

4 years ago

Solve for and in the following simultaneous equations below; 5x−4y=8 and 2x+y=11.

Mathematics

2 answers:

lorasvet [3.4K]4 years ago

7 0

Answer:

x=4 and y=3

Step-by-step explanation:

put one of the equations in slope form and solve

DanielleElmas [232]4 years ago

3 0

Answer:x=4 y=3

Step-by-step explanation:

5x-4y=8.............(1)

2x+y=11................(11)

From (11) y=11-2x

Substitute y=11-2x in 5x-4y=8

5x-4y=8

5x-4(11-2x)=8

Open bracket

5x-44+8x=8

Collect like terms

5x+8x=8+44

13x=52

Divide both sides by 13

13x/13=52/13

x=4

Substitute x=4 in 2x+y=11

2(4)+y=11

8+y=11

Collect like terms

y=11-8

y=3

You might be interested in

You are driving from Show Low to Portland, Oregon. The trip will be 1,345 miles total. So

dusya [7]

$\huge \boxed{\mathfrak{Question} \downarrow}$

You are driving from Show Low to Portland, Oregon. The trip will be 1,345 miles total. So far, you have driven 3/5 of the way to Portland. How many miles do you have left to drive?

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Miles to be driven in total = 1, 345 miles
Fraction of miles driven = 3/5
Fraction of miles left to be driven = 2/5 [5/5 - 3/5 = 2/5]
Miles left to be driven = ?

Now, let's solve it.

$\sf1345 \times \frac{2}{5} \\ \sf = \bcancel{1345} \times \frac{2}{ \bcancel{5}} \\ \sf = 269 \times 2 \\ = \boxed{ \boxed{ \bf \: 538}}$

So, the miles left to be driven by you is 538 miles.

6 0

3 years ago

Two trains leave stations 256 miles apart at the same time and travel toward each other. one train travels at 70 miles per hour

Leya [2.2K]

Answer:

1.6 hours

Step-by-step explanation:

The 2 trains together are going 160 mph.

256 / 160 = 1.6 hours

7 0

2 years ago

What is the answer to this equation. -12 = 5x

damaskus [11]

Step-by-step explanation:

-12 = 5x

5x = -12

x = -12/5

x = -2.4

4 0

4 years ago

Read 2 more answers

PLEASE HELP!!

balandron [24]

Answer:

$\left[\begin{array}{ccc}0&3&4\\0&7&-1\\\end{array}\right]$

Step-by-step explanation:

7 0

3 years ago

On a straight road, a car speeds up at a constant rate from rest to 20 m/s over a 5 second interval and a truck slows at a const

KIM [24]

To determine the total distance traveled by an object in constant speed, just multiply the speed by the time. So, for the car, the total distance traveled is,
distance by car = (20 m/s)(5s) = 100 m
For decelerating object, the distance traveled is,
distance = Vt - (at^2)/2
For the truck,
distance by truck = (20 m/s)(10s) - (2m/s^2)((10s)^2)/2 = 100 m

Relatively, both have traveled the same distance.

7 0

3 years ago