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ExtremeBDS [4]
3 years ago
12

What is the solution to the system of equations?

Mathematics
1 answer:
yarga [219]3 years ago
8 0

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

x + 2y = - 6 → (1)

3x + y = 2 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate the term in y

- 6x - 2y = - 4 → (3)

Add (1) and (3) term by term to eliminate y

- 5x = - 10 ( divide both sides by - 5 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

2 + 2y = - 6 ( subtract 2 from both sides )

2y = - 8 ( divide both sides by 2 )

y = - 4

Solution is (2, - 4 )

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5x−y=6 −2x+y=8 ​ combining equations
adoni [48]

Answer:

<h2>x=2</h2><h2>y=4</h2>

Step-by-step explanation:

5x-y=6

2x+y=8

add them up

7x=14

divide by 7 to get x

x=2

fit it into both equation

y=4

5 0
2 years ago
Read 2 more answers
What equation can I use to get 6 with the numbers 9,2,10,7,6
alekssr [168]

Answer:

10+2-6=6

Step-by-step explanation:

If you don’t need to use all the numbers,

10+2-6=6

7 0
3 years ago
System OT<br> W + b =13<br> 6.5w + 2b = 57.5
mixer [17]

Answer:   w = 7,  x = 6

Step-by-step explanation:  Solve by substitution

W + b = 13

rewrite as   b = 13 - w  and substitute that value for b in the second equation

6.5w + 2b = 57.5  Then solve for w

6.5w + 2(13-w) = 57.5 . Distribute

6.5w + 26 - 2w = 57.5 .  Subtract 26 from both sides. Combine like terms and simplify

6.5w - 2w = 57.5 - 26

4.5w = 31.5  Divide both sides by 4.65

w = 7 . Substitute 7 for w in the first equation and solve for b

7 + b = 13 . Subtract 7 from both sides

b = 6

6 0
3 years ago
Help !! Pleaseeeeeeeee
marysya [2.9K]

Answer:

Step-by-step explanation:

arc BE is the same as the interior angle, or 76°

BE = 76 °

we can also find arc CE the same way,  b/c we can see that the interior angle is the suppment with 76  or   180-76 = CE  or 104°

Now we know all the arcs but arc CD

so use the idea that all the way around the circle is 360°

360 = 76 + 104 + 140 + CD

360 - 76 - 104 - 140 = CD

40 = CD

CD = 40 °

7 0
3 years ago
What is the length of the hypotenuse, c? Round your answer to the nearest hundredth.
Afina-wow [57]

Answer:

Step-by-step explanation:

By using the Pythagorean theorem:

b^2+3^2=5^2
b^2+9=25

b=sqrt (25-9)

b=sqrt(16)

b=4

=> 4^2+7^2=c^2
16+49=c^2
65=c^2
=>c=sqrt(65)

c = (approximately) 8

5 0
2 years ago
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