All categories

2 years ago

Use elimination to find the solution to the system of equations. 4x+2y=34 5x-6y=34

Mathematics

2 answers:

Colt1911 [192]2 years ago

7 0

Answer:

Let's solve for x.

4x+2y=345x−6y

Step 1: Add -345x to both sides.

4x+2y+−345x=345x−6y+−345x

−341x+2y=−6y

Step 2: Add -2y to both sides.

−341x+2y+−2y=−6y+−2y

−341x=−8y

Step 3: Divide both sides by -341.

−341x

−341

−8y

−341

341

Step-by-step explanation:

NISA [10]2 years ago

7 0

Answer:

Step-by-step explanation:

4x+2y=34;5x−6y=34

Step: Solve 4x+2y=34 for x:

4x+2y=34

4x+2y+−2y=34+−2y(Add -2y to both sides)

4x=−2y+34

4x 4 =−2y+34 4

(Divide both sides by 4)

x=−1/2y+17/2

Step: Substitute

−1/2y+17/2

solve for x in 5x−6y=34:

5x−6y=34

5(−1/2y+17/2)−6y=34

−17/2y+85/2=34(Simplify both sides of the equation)

−17/2y+85/2+−85/2=34+−85/2

(Add (-85)/2 to both sides)

−17/2

y=−17/2/−17/2y−17/2=−17/2/−17/2

(Divide both sides by (-17)/2)

Step: Substitute 1 for y in

x=−1//2y+17/2:

x=−1/2y+17/2

x=−1/2(1)+17/2

<em>x=8</em> (Simplify both sides of the equation)

You might be interested in

The ratio of length to width in a rectangle is 3 to 1. If the perimeter of the rectangle is 128 feet, what is the length of the

Serga [27]

Answer: B

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

Dovator [93]

Option a: $\frac{m^{5} }{162n}$ is the equivalent expression.

Explanation:

The expression is $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ where $m\neq 0, n\neq 0$

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

$\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }$

Cancelling the like terms, we have,

$\frac{3^{-3}m^{5} n^{-1}}{6 }$

This equation can also be written as,

$\frac{m^{5}}{3^{3}6 n^{1} }$

Multiplying the terms in denominator, we have,

$\frac{m^{5} }{162n}$

Thus, the expression which is equivalent to $\frac{(3m^{-2} n)^{-3}}{6mn^{-2} }$ is $\frac{m^{5} }{162n}$

Hence, Option a is the correct answer.

8 0

3 years ago

Read 2 more answers

an initial population of 700 trout increases at an annual rate of 22%. Which exponential function models the trout population?

REY [17]

Answer:

$y=700(1.22)^{x}$

Step-by-step explanation:

Let

y-----> the trout population

x----> the time in years

we know that

$22\%=22/100=0.22$

$y=700(1+0.22)^{x}$

$y=700(1.22)^{x}$ ----->exponential function that models the trout population

7 0

3 years ago

I have a 3 foot board that needs to be equally decided into 1/2 how many extra peices will I have

anygoal [31]

Answer:

No extra pieces.

Step-by-step explanation:

Given:

Total number of foot board = 3

Equally divided into = 1/2

Question asked:

How many extra pieces will I have = ?

Solution:

By dividing 3 by 1/2 we can find the extra pieces.

= $3\div\frac{1}{2}$

= $3\times\frac{2}{1}$

= $6$

Since, the remainder is zero, thus there is no any extra pieces I have.

7 0

3 years ago

I need this answered ASAP !!!! Right answers only

otez555 [7]

This is not a function because they use the same y axis.

8 0

3 years ago