<img src="https://tex.z-dn.net/?f=y%20%3D%202x%20-%2011%20%5C%5C%204x%20%2B%203y%20%3D%20%20-%2013" id="TexFormula1" title="y =

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3 years ago

2x - 11 \\ 4x + 3y = - 13" alt="y = 2x - 11 \\ 4x + 3y = - 13" align="absmiddle" class="latex-formula">
How do u solve this system equation?

Mathematics

2 answers:

leva [86]3 years ago

7 0

y = 2x - 11

4x + 3y = -13

To solve this system using substitution, substitute (2x - 11) into the second equation for y and solve algebraically for x.

4x + 3y = -13 (given)

4x + 3(2x - 11) = -13 (substitute)

4x + 6x - 33 = -13 (distribute)

10x - 33 = -13 (collect like terms)

10x = 20 (add 33 to both sides)

x = 2 (divide both sides by 10)

Substitute 2 for x into either of the original equations.

y = 2x - 11 (given)

y = 2(2) - 11 (substitute)

y = 4 - 11 (multiply)

y = -7 (subtract)

Answer:

x = 2 and y = -7; (2, -7).

PSYCHO15rus [73]3 years ago

4 0

I think that
y = -7
x= 2

Read more about distances at:

brainly.com/question/12961022

6 0

2 years ago

The probability it will rain tomorrow is 1/2. The probability that our team will win tomorrow's basketball game is 3/5. Which ex

irga5000 [103]

Answer:

Step-by-step explanation:

if the probability it win is 3/5 then 5/5 - 3/5 equals 2/5

which you multiply with 1/2

hope this helps

7 0

2 years ago

Charlie paid 660 for 6 shirts and four belts. One shirt costs three times as much as one belt. If Sam bought 5 shirts and 2 suck

Cerrena [4.2K]

Sam would have to pay $510 to buy 5 shirts and 2 suck belts.

Step-by-step explanation:

Let,

Cost of one shirt = x

Cost of one belt = y

According to given statement;

6x+4y = 660 Eqn 1

x = 3y Eqn 2

Putting value of x from Eqn 2 in Eqn 1

$6(3y)+4y=660\\18y+4y=660\\22y=660$

Dividing both sides by 22

$\frac{22y}{22}=\frac{660}{22}\\y=30$

Putting y=30 in Eqn 2

$x=3(30)\\x=90$

One shirt costs $90 and one belt cost $30.

Price of 5 shirts = 90*5 = $450

Price of 2 belts = 30*2 = $60

Total = 450+60 = $510

Sam would have to pay $510 to buy 5 shirts and 2 suck belts.

Keywords: linear equation, addition

Learn more about addition at:

#LearnwithBrainly

6 0

3 years ago

Kim took out a $55,000 loan for college. She is borrowing money from two banks. Bank A charges an interest rate of 8%, and Bank

stellarik [79]

Kim's Loan:
Let A = amount borrowed from bank A.
Let B = amount borrowed from bank B.

The total loan is $55,000.
Therefore
A + B = 55000 (1)

Bank A charges 8% interest. The interest after 1 year is 0.08A.
Bank B charges 11% interest. The interest after 1 year is 0.11B.
Total interest after 1 year is $5,000.
Therefore
0.08A + 0.11B = 5000 (2)

From (1), obtain
B = 55000 - A (3)

Substitute (3) into (2).
0.08A + 0.11(55000 - A) = 5000
0.08A + 6050 - 0.11A = 5000
-0.03A = -1050
A = -1050/-0.03 = 35000

Answer: Kim borrowed $35,000 from bank A.

Jack's Loan.
A = loan from bank A.
B = loan from bank B.
The total loan is $10,000.
Therefore
A + B = 10000 (4)

Bank A charges 5% interest and bank B charges 6% interest.
Total interest after 1 year is $530, therefore
0.05A + 0.06B = 530 (5)

From (4), obtain
B = 10000 - A (6)

Substitute (6) into (5).
0.05A + 0.06(10000 - A) = 530
0.05A + 600 - 0.06A = 530
-0.01A = -70
A = -70/-0.01 = 7000

Answer: Jack borrowed $7,000 from bank A.

3 0

3 years ago

HELP NEEDED IMMEDIATELY! I'M GETTING DESPERATE!

TiliK225 [7]

Answer:

The number of different possible values are {-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7}.

Step-by-step explanation:

Given : For an integer n, the inequality $x^2 + nx + 15 < 0$ has no real solutions in x.