Ask question

Ask question

All categories

3 years ago

14

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find

all solutions whenever they exist.
X + 3y = 9

3x –y = 7

1 answer:

Blababa [14]3 years ago

4 0

$After\ adding\ equations\ and\ simplifying:\\\\One\ solution:\\\\x=number\\ example: x=2\\\\ infinitely\ many\ solutions:\\\\ Left\ side=\ Right\ side\\ example:\\ 2=2\\\\ No\ solutions:\\\\2 \neq 5$ $\left \{ {{x+3y=9} \atop {3x-y=7}\ \ |*3} \right.\\\\ \left \{ {{x+3y=9} \atop {9x-3y=21}} \right.\\+--------\\\\Addition\ method:\\\\10x=30\ \ |:10 \\\\x=3\\\\x+3y=9\\\\3y =9-x=9-3=6\\\\y=2\\\\ \left \{ {{y=2} \atop {x=3}} \right.$

You might be interested in

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid sing

Slav-nsk [51]

Answer:

I thinks its SAS

Step-by-step explanation:

SAS is Two sides and included agale of one triangle congruent to two sides

8 0

3 years ago

In 2014, adele sold 2,500,000 records. In 2015, she sold 90% of the number of records she sold in 2014. In 2016, she sold 80% of

Alla [95]

She sold 70% bc 100% - 90% - 80% -70%

8 0

2 years ago

Read 2 more answers

PLEASE HELP!! I WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!!))What is the volume of this cylinder?

Aleksandr-060686 [28]

Answer:

V = 6079.04 ft³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then

V = 3.14 × 11² × 16

= 3.14 × 121 × 16

≈ 6079.04 ft³ ( to the nearest hundredth )

6 0

2 years ago

Three out of every 20 students in ms. jones’ Math class earned a grade of A. What percent of the students earned a grade of A?

erica [24]

Answer:

15%

Step-by-step explanation:

3/20x100=15

6 0

2 years ago

If the demand function for a commodity is given by the equation

Margarita [4]

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : $p^2 + 16q = 1400$

Supply function : $700 -p^2 + 10q = 0$

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : $p^2 + 16q = 1400$ --A

Supply function : $p^2-10q=700$ ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

$p^2-10q -p^2-16q=700-1400$

$-26q=-700$

$26q=700$

$q=\frac{700}{26}$

$q=26.92$

So, equilibrium quantity = 26.92

Substitute the value of q in A

$p^2 + 16(26.92) = 1400$

$p^2 + 430.72 = 1400$

$p^2 = 1400- 430.72$

$p^2 = 969.28$

$p = \sqrt{969.28}$

$p = 31.13$

So, equilibrium price is $31.13

7 0

3 years ago