All categories

3 years ago

Solve the system of linear equations by elimination −2x+3y=7 and 5x+8y=−2

Mathematics

1 answer:

Charra [1.4K]3 years ago

7 0

Hey!

Here's how you would solve it with elimination:

-2x + 3y = 7

5x + 8y = -2

Multiply first equation by 5 and the second one by 2:

-10x + 15y = 35

10x + 16y = -4

Add the two equations:

-10x + 15y = 35

10x + 16y = -4

------------------------

31y = 31

y = 1

Plug this back into one of the original equation:

5x + 8y = -2

5x + 8(1) = -2

5x + 8 = -2

5x = -10

x = -2

Now you have your answer:

y = 1

x = -2

You might be interested in

The Pyramids of Egypt need to be repaired but first we must find the total Volume so we know how many bricks to buy. This Pyrami

Agata [3.3K]

Answer:

Hi how are you doing today Jasmine

6 0

3 years ago

If their food and beverages cost 25.30 and there is an 8% meals tax, how much is the bill?

pentagon [3]

25.3 × 1.08
27.324

The total bill is $27.32

7 0

3 years ago

Find the two ordered pairs that are 2.5 units apart

Artemon [7]

What does this mean?

4 0

2 years ago

Consider the graph of the function f(x)=2^x

OverLord2011 [107]

Answer:

D. The y-intercept is at (0,2)

Step-by-step explanation:

f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x

In the exponential function ab^x a is the y-intercept (in this case a is 2)

3 0

2 years ago

Identify and solve the inequality that represents how many $20 bills, n, you can withdraw from the account without going below t

Alex Ar [27]

Answer:

$100 + 20n \leq 230$

$n \leq 6$

Step-by-step explanation:

Given

$Balance = \$230.00$

$Minimum = \$100$

$Withdrawal = \$20\ each$

Required

Represent using an inequality and solve

Let the number of dollars be represented by n

If 1 withdrawal is $20 bill

n withdrawals would be $20n bills

The total withdrawal and the minimum balance must be less than or equal to the available balance.

So, this gives

$Minimum + Total\ Withdrawal \leq Available\ Balance$

Substitute values for each of these

$100 + 20n \leq 230$

Solving for n

$20n \leq 230 - 100$

$20n \leq 130$

Divide through by 20

$n \leq 6.5$

But n can not be decimal because it represents number of dollar bills , which must always be an integer.

So, we round down the value of n

$n \leq 6$

4 0

3 years ago