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snow_lady [41]
3 years ago
15

Solve by substitutionx+3y=5 -2x-4=-5 ​

Mathematics
1 answer:
likoan [24]3 years ago
3 0

Answer:

x = 1/2 , y = 3/2

Step-by-step explanation:

Solve the following system:

{3 y + x = 5

-2 x - 4 = -5

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{3 y + x = 5

-2 x - 4 = -5

Hint: | Isolate terms with x to the left hand side.

Add 4 to both sides:

{3 y + x = 5

-2 x = -1

Hint: | Solve for x.

Divide both sides by -2:

{3 y + x = 5

x = 1/2

Hint: | Perform a substitution.

Substitute x = 1/2 into the first equation:

{3 y + 1/2 = 5

x = 1/2

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for y:

{3 y + 1/2 = 5

x = 1/2

Hint: | Isolate terms with y to the left hand side.

Subtract 1/2 from both sides:

{3 y = 9/2

x = 1/2

Hint: | Solve for y.

Divide both sides by 3:

{y = 3/2

x = 1/2

Hint: | Sort results.

Collect results in alphabetical order:

Answer:{x = 1/2 , y = 3/2

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inysia [295]

Answer:

5.5

Step-by-step explanation:

We nned to divide to solve this!!

22/4 = 5.5

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2 years ago
WXY is a right triangle. <br><br> A. True. <br> B. False.
lora16 [44]

Answer:

B. False


Step-by-step explanation:

According to pythagorean theorem, for this to be a right triangle, the sum of  square of the length of the two legs must equal square of the length of the hypotenuse (longest side).

So  (\sqrt{34} )^{2}  should equal  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}

  • <em>We also know that  (\sqrt{a} )^{2}=(\sqrt{a})(\sqrt{a})=a</em>

Hence,  (\sqrt{18} )^{2}+(\sqrt{18} )^{2}=18+18=36  , and

(\sqrt{34} )^{2}=34

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5 0
2 years ago
Read 2 more answers
Six times a number is at least -24
lbvjy [14]

Answer: -4

Step-by-step explanation: any positive number times a negative number is negative. 6x(-4) is -24.

4 0
3 years ago
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Evaluate 23x-1 for x = 1.
swat32
22 is the answer for 23x-1 for x=1
8 0
3 years ago
Pls help I’m so confused
solniwko [45]

Answer:

Yes

Step-by-step explanation:

First, look for the hypotenuse (diagonal) of the base of the box. We have the two legs: 13 inches and 35 inches.

Set up an equation using the Pythagorean theorem:

13^2+35^2=C^2

Solve for C:

169 + 1225 = C^2

1394 = C^2

C ≈ 37.34

Now that we have the diagonal of the base, we know can move on to find the value of the interior diagonal. We have two legs: 13 inches and 37.34 inches.

Again, set up an equation using the Pythagorean theorem, and solve for the new C:

13^2+37.34^2=C^2

1563.2756 = C^2

C = 39.54

The interior diagonal of the box is approximately 39.54 inches long, which is longer than Kylie's baton, which is 38 inches long. So, she can fit the baton in the box.

Have a nice day! :)

7 0
2 years ago
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