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Andrew [12]
3 years ago
14

6. Solve using any method. x+6y=7 5x + 8y = 13

Mathematics
2 answers:
mars1129 [50]3 years ago
8 0
When you substitute you find your answer
Norma-Jean [14]3 years ago
4 0

Answer:

<h2>x = 1, y = 1 → (1, 1)</h2>

Step-by-step explanation:

\bold{ELIMINATION\ METHOD}\\\\\left\{\begin{array}{ccc}x+6y=7&\text{Multiply both sides by (-5)}\\5x+8y=13\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-5x-30y=-35\\5x+8y=13\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad-22y=-22\qquad\text{divide both sides by (-22)}\\.\qquad\boxed{y=1}\\\\\text{Put it to the first equation}\\\\x+6(1)=7\\x+6=7\qquad\text{subtract 6 from both sides}\\\boxed{x=1}

\bold{SUBSTITUTION\ METHOD}\\\\\left\{\begin{array}{ccc}x+6y=7&\text{subtract}\ 6y\ \text{from both sides}\\5x+8y=13\end{array}\right\\\\\left\{\begin{array}{ccc}x=7-6y&(1)\\5x+8y=13&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\5(7-6y)+8y=13\qquad\text{use the distributive property}\\(5)(7)+(5)(-6y)+8y=13\\35-30y+8y=13\qquad\text{subtract 35 from both sides}\\-30y+8y=13-35\qquad\text{combine like terms}\\-22y=-22\qquad\text{divide both sides by (-22)}\\\boxed{y=1}

\text{Put it to (1):}\\\\x=7-6(1)\\x=7-6\\\boxed{x=1}

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To start the school year, a teacher spends $54.35 in school supplies for her classroom. During the course of the year, she will
Sholpan [36]

co·ef·fi·cient

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a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g., 4 in 4x y).

So, 22 is your coefficient.

5 0
3 years ago
An ant crept to a hole, which was 300 cm away.
ohaa [14]

Answer:

Answer 10 min

Step-by-step explanation:

Because if it crawls 40 cm per minute but it goes back 10 cm because of wind then you have to do 40-10 = 30 then you do 300 divided by 30 to get the time.

Hope this helped!!!

8 0
3 years ago
Let h(x)=2x−5 and g(x)=−3x+1.Find h(x)+g(x).? help please
Aleksandr-060686 [28]
This may look a little confusing but all you have to do is plug the equation given for h(x) which is 2x-5 in to the h(x) area in the equation where it says h(x) + g(x).

So far that’s (2x-5) + g(x)

Then,

Do the same with equation given for g(x) which is now,

(2x-5) + (3x+1)

Then solve,

2x - 5 + 3x + 1
2x + 3x- 5 + 1
5x - 4

Therefore the answer is 5x - 4.
8 0
3 years ago
You deposit $2000 into a savings account to pay 5% interest compounded annually if you make no more deposit or any withdrawal is
Bond [772]

Answer: A = 2000(1.05)^5

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = $2000

r = 5% = 5/100 = 0.05

n = 1 because it was compounded once in a year.

t = 5 years

Therefore, the equation that shows how much money will be in the account after five years is

A = 2000(1 + 0.05/1)^1 × 5

A = 2000(1.05)^5

5 0
3 years ago
What expression represents '' five times the quotient of some number and ten"? A.5(z/10) B.5(z-10) C.5(10/z) D.5(10-z)
maw [93]

Answer:

Option A is correct

5(\frac{z}{10})

Step-by-step explanation:

Let the number be z.

Given the statement:

'' five times the quotient of some number and ten"

" quotient of some number and ten" translated to \frac{z}{10}

"five times the quotient of some number and ten" translated to 5 \times \frac{z}{10}

Then, the expression we get,

5(\frac{z}{10})

Therefore, 5(\frac{z}{10}) expression represents '' five times the quotient of some number and ten"

5 0
3 years ago
Read 2 more answers
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