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sergey [27]
3 years ago
10

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen

t to x from the first equation is substituted into the second equation. x + 4y = −9 2x + 5y = −6
Mathematics
2 answers:
Sonja [21]3 years ago
6 0
X + 4y = -9 . . . (1)
2x + 5y = -6 . . . (2)

From (1): x = -9 - 4y . . . (3)

Substituting (3) into (2) gives, 2(-9 - 4y) + 5y = -6
-18 - 8y + 5y = -6
Required equation is -18 - 3y = -6
densk [106]3 years ago
3 0

Answer:

Hence, the required equation is:

-18-3y= -6

Step-by-step explanation:

We are asked to solve a system of equation using the substitution method i.e. we need to apply:

choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation

The system of equations is given as:

x + 4y = −9 -------(1)

2x + 5y = −6------(2)

now we find the value of x from equation (1) in terms of y:

x= -9-4y.

and put this value of x in equation (2) to obtain:

2(-9-4y)+5y= -6

-18-8y+5y= -6

-18-3y= -6



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A recipe uses 7 parts of milk for every 5 parts of sugar how much sugar do you use when you use 28 cups of milk
stira [4]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Ralph buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. both items are on sale at 15% of
Lunna [17]
C) (0.85 + x/100)(250+145) does not give the correct answer.

Explanation
A) works; adding the two costs together is 250+145=395.  We multiply this by 0.85 because 100%-15%=85%=0.85.  We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00.  Altogether this gives us 
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%.  This will simplify out to
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6 0
3 years ago
Marsha is buying a new cell phone. She has a 45% off coupon from the store. She pays $275 for the cell phone. What is the price
jekas [21]

Answer:

The price of the cell phone without the coupon= $500

Step-by-step explanation:

Step 1: Express discounted amount

The discounted amount can be expressed as a function of the original  cost of the phone as follows;

D=r×A

where;

D=discounted amount

r=coupon rate

A=original price of the cell phone before the coupon

In our case;

r=45%=45/100=0.45

A=a

replacing;

Discounted amount=(0.45×a)=0.45 a

Step 2: Amount she pays up

Amount she pays=Original cost of cell phone-discounted amount

where;

Amount she pays= $275

original cost of cell phone=a

discounted amount=0.45 a

replacing;

$275=a-0.45 a

0.55 a=275

a=275/0.55

a=500

The price of the cell phone without the coupon= $500

7 0
3 years ago
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