All categories

3 years ago

What is the solution to x-y=5 and x+y=3?

Mathematics

1 answer:

Romashka [77]3 years ago

7 0

Answer:x=4 , y=-1

Step-by-step explanation:

X-y=5

X+y=3

If 1 and 2 are added then y will be eliminated

(1)+(2) gives : 2x=8 then x=4

Now substitute this value of x into either of the 2 equations and solve for y.

Let x=4 in (1) =4-y=5 = y=-2

You might be interested in

A hockey puck strikes a wall at an angle of 30 degrees. the puck then travels away from the wall at the same angle.

patriot [66]

Two or more angles whose sum is 180° are called supplementary angles. The measure of the ∠y is 120°.

<h3>What are supplementary angles?</h3>

Two or more angles whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, that if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

Given the puck strikes the wall at an angle of 30°, it goes away at the same angle of 30°. Therefore, the measure of angle y can be found using the sum of the angle as a supplementary angle. Thus, we can write,

30° + ∠y + 30° = 180°

60° + ∠y = 180°

∠y = 180° - 60° = 120°

Hence, the measure of the ∠y is 120°.

Learn more about Supplementary Angles:

brainly.com/question/2882938

#SPJ1

5 0

2 years ago

What is the slope of the line?

White raven [17]

Answer:

$-\frac{2}{3} x$

Step-by-step explanation:

Hey there!

To find slope, you take $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In this case

y2: 6

y1: 4

x2: -3

x1: 0

Now we plug in this information

$\frac{6-4}{-3-0} \\\\\frac{2}{-3} \\\\-\frac{2}{3}$

Since this is the slope, you have to add a "x"

So, the slope is $-\frac{2}{3} x$

5 0

3 years ago

The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a c

KiRa [710]

Answer:

<em>The correct answer is First option</em>:

$22x+10y=7\\ 2x-y=-2$

Step-by-step explanation:

We are given 4 equations:

$22x+10y=7\\ 2x-y=-2\\3x+2y=5\ and\ \\4x-y=2$

Let us solve the first two:

$22x+10y=7...... (1)\\ 2x-y=-2 ...... (2)$

Multiplying (2) with 10 and adding to (1):

$22x+20x=7-20\\\Rightarrow 42x=-12\\\Rightarrow x = -0.2857 \approx -0.3$

So, approximately, value of x is -0.3.

Putting value of x in (2):

$2 \times -0.3 - y =-2\\\Rightarrow y = -0.6+2\\\Rightarrow y = 1.4$

value of x is approximately -0.3 so y is approximately 1.4.

So, the solution is $\approx$ (–0.3, 1.4)

<em>The correct answer is First option</em>:

$22x+10y=7\\ 2x-y=-2$

The above two equations have a solution <em>approximately (–0.3, 1.4).</em>

3 0

3 years ago

Read 2 more answers

A number t decreased by 2 is at least 7

9966 [12]

Answer:
t - 2 ≥ 7; t ≥ 9

Explanation:
“a number t” = t
“decreased by 2” = - 2
“Is at least 7” = ≥ 7
So, t - 2 ≥ 7

To solve for t - 2 ≥ 7, add 2 to both sides of the equation

t - 2 ≥ 7
t - 2 + 2 ≥ 7 + 2
t ≥ 9

So, t ≥ 9

6 0

3 years ago

Question 6 of 10

krek1111 [17]

Answer:

TT , TW , TL , LT , LW , LL , WT , WW , WL

Step-by-step explanation:

They tell us that Maggie's fubtol team can can win (W), lose (L), or tie (T) each game, which means that it has 3 possible results and is two games, therefore the number of results would be :

Hence 2 Games will have 3² possible out comes.

3² = 9

In other words, there are a total of 9 possible results, distributed as follows:

T W L

T W L T W L T W L

TT TW TL WT WW WL LT LW LL

It means that the possible outcomes are:

TT , TW , TL , LT , LW , LL , WT , WW , WL

5 0

3 years ago