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lesya692 [45]
3 years ago
5

Describe the steps you would use to solve this equation: 3a + 3 - 6a = 15. Include your answer in the description.

Mathematics
2 answers:
qaws [65]3 years ago
7 0

Answer:

a=2

Step-by-step explanation:

3a + 3 - 6a = 15

combine like terms: 3a +6a

9a + 3 = 15

add 3 to 15

9a = 18

divide 9 from 18

a = 2

plug it into the equation to check for errors!

3 (2) + 3 - 6 (2) = 15

3 (2) = 6 -6 (2) = -12

6 + 3 - 12 = 15

3 - 12 = 9

9 + 6 = 15

Hope this helps! ❤

djverab [1.8K]3 years ago
4 0
The answer is -4. I don’t have an explanation though because I used the calculator.
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Step-by-step explanation:

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Solve the system of equations by graphing: 2x + 3y = 2 6x + 18y = 9
cluponka [151]
The answer is  A: x=1/2 , y= 1/3

Solve the following system:
{2 x + 3 y = 2 | (equation 1)
{6 x + 18 y = 9 | (equation 2)

Swap equation 1 with equation 2:
{6 x + 18 y = 9 | (equation 1)
{2 x + 3 y = 2 | (equation 2)

Subtract 1/3 × (equation 1) from equation 2:
{6 x + 18 y = 9 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Divide equation 1 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x - 3 y = -1 | (equation 2)

Multiply equation 2 by -1:
{2 x + 6 y = 3 | (equation 1)
{0 x+3 y = 1 | (equation 2)

Divide equation 2 by 3:
{2 x + 6 y = 3 | (equation 1)
{0 x+y = 1/3 | (equation 2)

Subtract 6 × (equation 2) from equation 1:
{2 x+0 y = 1 | (equation 1)
v0 x+y = 1/3 | (equation 2)

Divide equation 1 by 2:
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Collect results:
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7 0
3 years ago
I am having trouble with this problem. I need to find the lengths of this right triangle. How would you do this?
podryga [215]
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so Pythagorean theorem says
a^2+b^2=c^2
so
(2x+1)^2+(11x+5)^2=(12x+1)^2
distribute
(4x^2+4x+1)+(121x^2+110x+25)=(144x^2+24x+1)
add like terms
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subtract 125x^2 from both sides
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subtract 114x from both sides
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subtract 26 from both sides
0=19x^2-90-25
factor
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so
x-5=0 add 5 to both sides
x=5
19x+5=0
subtract 5 from both sides
19x=-5
divide both sides by 19
x=-5/19
since side legnths can't be negative, we can cross this solution out

so x=5
subtitute
1+2x
1+2(5)
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side a=11

11x+5
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12x+1
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60+1=60
side c=61
add them all up
side a+b+c=11+60+61=132=total legnth
5 0
3 years ago
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