All categories

2 years ago

Solve the system by the elimination method? -5x-2y=2 6x-2y=24

Mathematics

2 answers:

Ivahew [28]2 years ago

4 0

X = 22
Make either x or y opposites and then solve.

Hope this helps.

Mnenie [13.5K]2 years ago

4 0

<span>-5x-2y=2
6x-2y=24

Notice that -2y appears in both equations. Multiply the first equation by -1, obtaining

5x + 2y = -2 and then adding the second equation to this result:
6x -2t = 24
-----------------
11x = 22, so x = 2. Now subst. 2 for x in either of the original equations to find the value of y.

6(2) - 2y = 2 becomes 2y = 12-2, or 2y = 10, or y = 5.

Solution is (2,5). You MUST check this, however.</span>

You might be interested in

A cable hangs between two poles of equal height and 35 feet apart. At a point on the ground directly under the cable and x feet

gayaneshka [121]

Answer:

293.38 pounds

Step-by-step explanation:

We are given that

Distance between poles=35 feet

$h(x)=10+0.1(x^{1.5})$

Weight of cable=10.4 per linear foot

We have to find the weight of the cable.

Differentiate w.r.t

$h'(x)=0.1(1.5)x^{0.5}=0.15x^{0.5}$

$s=2\int_{0}^{17.5}\sqrt{1+(h'(x))^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+(0.15x^{0.5})^2}dx$

$s=2\int_{0}^{17.5}\sqrt{1+0.0225x}dx$

Let $1+0.0225x=t$

$dx=\frac{1}{0.0225}dt$

$s=\frac{2}{0.0225}\int_{0}^{17.5}\sqrt{t}dt$

$s=\frac{2}{0.0225}\times\frac{2}{3}[t^{\frac{3}{2}}]^{17.5}_{0}$

$s=2\times \frac{2}{3\times0.0225}[(1+0.0255x)^{\frac{3}{2}]^{17.5}_{0}$

$s=\frac{4}{3\times 0.0225}((1+0.0225(17.5))^{\frac{3}{2}-1)$

s=28.21

Weight of cable= $28.21\times 10.4=293.38$ pound

8 0

3 years ago

Hiiiooo!! Could someone please help me out with this❤️❤️❤️

a_sh-v [17]

Answer:

Step-by-step explanation:

3 divided by 4.8 = 0.625

5 divided by 0.625 = 8

5 0

3 years ago

Read 2 more answers

Which should be calculated first to solve this story problem?

Elden [556K]

The answer would be a because of the time he is at the gym just add and subtract but the answer is a

5 0

3 years ago

On each task card, there are four statements. Three are correct and one is INCORRECT. Find the incorrect statement and give the

Mrac [35]

Answer:

Statement 4 is incorrect.

Step-by-step explanation:

#4 is incorrect. This statement is assuming that both 3x+5 and 4x are equal, but the correct way to use them and achieve 180 (definition of supplementary) degrees is by writing it as: 3x+5 + 4x = 180. (I spaced the 3x+5 and 4x to make it clear that these are two angles added together.) With this equation, you will be able to find the x and the substitute it back in to complete the equation.

8 0

3 years ago

What is estimate + (-3.05) + (-9.8)

katovenus [111]

-3.05 + -9.8 = -12.85

Hope this helps you! Happy Thanksgiving, here's a turkey!

8 0

3 years ago

Read 2 more answers