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beks73 [17]
3 years ago
6

Solve each system by substitution. Show work please.

Mathematics
1 answer:
user100 [1]3 years ago
4 0

Answer:

see below. i put a square around each x,y solution.

Step-by-step explanation:

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4.5x – 2y = 15<br> 3x - y =10<br><br> (answer as a combined pair)
prisoha [69]

Answer:

x = 10/3 , y = 0

Step-by-step explanation:

Solve the following system:

{4.5 x - 2 y = 15

3 x - y = 10

In the first equation, look to solve for x:

{4.5 x - 2 y = 15

3 x - y = 10

4.5 x - 2 y = (9 x)/2 - 2 y:

(9 x)/2 - 2 y = 15

Add 2 y to both sides:

{(9 x)/2 = 2 y + 15

3 x - y = 10

Multiply both sides by 2/9:

{x = (4 y)/9 + 10/3

3 x - y = 10

Substitute x = (4 y)/9 + 10/3 into the second equation:

{x = (4 y)/9 + 10/3

3 ((4 y)/9 + 10/3) - y = 10

3 ((4 y)/9 + 10/3) - y = ((4 y)/3 + 10) - y = y/3 + 10:

{x = (4 y)/9 + 10/3

y/3 + 10 = 10

In the second equation, look to solve for y:

{x = (4 y)/9 + 10/3

y/3 + 10 = 10

Subtract 10 from both sides:

{x = (4 y)/9 + 10/3

y/3 = 0

Multiply both sides by 3:

{x = (4 y)/9 + 10/3

y = 0

Substitute y = 0 into the first equation:

Answer:  {x = 10/3 , y = 0

7 0
3 years ago
Megan has a piece of fabric which is a right triangular shape. The length of leg 1 is 4 m. The length of the other leg is twice
Bess [88]

Answer:

8.94 m

Step-by-step explanation:

Use the Pythagorean Theorum - a^2 + b^2 = c^2. Use leg 1 as <em>a</em>, leg 2 as <em>b</em>, and the third side as <em>c</em>.

We know leg 1 is 4, and that leg 2 is twice as long as leg 1...

(4)^2 + (4*2)^2 = c^2

Now, we use the Order of Operations to find c^2...

4^2+8^2=c^2\\16+64=c^2\\80=c^2

Now, we find the square root of c^2 to find c...

\sqrt{80} =8.94

So, the length of the third side is 8.94 m.

8 0
3 years ago
Enter an equation in standard form for the line.<br> Slope is -5, and (-6, -10) is on the line.
fredd [130]
Y+10=-5(x+6)
Y +10= -5x-30
5x+y+40=0
3 0
3 years ago
Read 2 more answers
Urgent !!!!!!!!!!!!!!! 10 points
Mademuasel [1]

Answer:

136 cm²

Step-by-step explanation:

Surface area = 2(lw+wh+hl)

l = 7

w = 2

h = 6

so,

2(7×2+2×6+7×6)

= 136 cm²

6 0
3 years ago
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A right angle has a height of 5 and a base of 12. What is the length of the hypotenuse
ki77a [65]

Answer:idk

Step-by-step explanation:

8 0
4 years ago
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