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dusya [7]
3 years ago
10

-4x + y = 6 -5x - y = 21 Solve for both x and y using substitution.

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0
Solve the following system using substitution:
{y - 4 x = 6
{-5 x - y = 21

In the first equation, look to solve for y:
{y - 4 x = 6
{-5 x - y = 21

Add 4 x to both sides:
{y = 4 x + 6
{-5 x - y = 21

Substitute y = 4 x + 6 into the second equation:
{y = 4 x + 6
{-9 x - 6 = 21

In the second equation, look to solve for x:
{y = 4 x + 6
{-9 x - 6 = 21

Add 6 to both sides:
{y = 4 x + 6
{-9 x = 27

Divide both sides by -9:
{y = 4 x + 6
{x = -3

Substitute x = -3 into the first equation:
{y = -6
{x = -3

Collect results in alphabetical order:
Answer: {x = -3, y = -6
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Convert 9 over 4 into mixed numbers
Maslowich
9/4
well, 4 times 2 is 8, there would be a quarter left over
answer: 2 1/4

so it would be 2 and a quarter.

Hope this helped :)


6 0
3 years ago
Find the measures of the interior angles. Help me please..
lina2011 [118]

Answer:

39

Step-by-step explanation:

Total interior angle of a triangle equal to 180. [180-102]/2

4 0
3 years ago
Mrs. Fox met with 120 students. If three- quarters were girls, how many boys were at the meeting
Elan Coil [88]

Answer:30 boys

Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.

8 0
3 years ago
What are the equations for the asymptotes of this hyperbola?<br> Y^2/36 - x^2/121=1
german
Set the equation to 0. new equation would be y^2/36 - x^2/121 = 0

factor the new equation: (y/6 + x/11)(y/6 - x/11) = 0

y/6 + x/11 = 0 —> y = -6x/11
y/6 - x/11 = 0 —> y = 6x/11

the asymptotes would be y = -6x/11, y = 6x/11
3 0
2 years ago
Read 2 more answers
I need help on geometry proofs
guapka [62]
The hypotenuse has got to have the longest side in a right angled triangle.

Say, A=Adjacent, O=Opposite, H=Hypotenuse

A²+O²=H²

Therefore,

A²<H²

O²<H²

As this is the case:

H>A

H>O
4 0
3 years ago
Read 2 more answers
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