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Genrish500 [490]
3 years ago
8

Plzzz help don’t understand

Mathematics
2 answers:
maks197457 [2]3 years ago
8 0

A system of linear equations solved by elimination means that you have to figure out a way to eliminate one of the variables so that you can solve for the other one.

Here, you could multiply both sides of the top equation by 2 to get:

2 * (-9x + 2y) = -1 * 2

-18x + 4y = -2

Now line this up with the bottom equation:

-18x + 4y = -2

18x - 7y = 17

We see that if we add the two equations together, we can get rid of the x variable:

4y + -7y = -2 + 17

-3y = 15

y = -5

If we know y, we can use it to find x:

-9x + 2 * -5 = -1

-9x - 10 = -1

Add 10 to both sides:

-9x = 9

Divide both sides by -9:

x = -1

So, the answer is x = -1 and y = -5

nataly862011 [7]3 years ago
3 0

The given system of equation is

-9x+2y=-1..........(1)\\ \\ 18x-7y=17...........(2)\\ \\ \text{To solve the system of equation by elimination, multiply the first equation by 2 }\\ \text{and thereafter add equation 1 and 2 together we get  }\\ \\ -18x+4y=-2\\ 18x-7y=17\\ ------\\ -3y=15\\ ------\\ \\ y=-5\\ \text{Now substitute the value of y in equation 1 we get }\\ \\ -9x-10=-1\\ \\ -9x=-1+10\\ \\ -9x=9\\ \\ x=-1\\ \\ \text{Hence the solution to the given system of equation is }\\ \\ x=-1, y=-5\\

You might be interested in
Solving Quadratic Equations with Complex SolutionsThe discriminant: D=b^2-4acQuestion:5x^2-2x+1=0
fomenos

• The value of the discriminant ,D= -16

,

• The solution to the quadratic equation is

x=\frac{1+2i}{5}\text{     or    }\frac{1-2i}{5}

Step - by - Step Explanation

What to find?

• The discriminant d= b² - 4ac

,

• The solution to the quadratic equation.

Given:

5x² - 2x + 1=0

Comparing the given equation with the general form of the quadratic equation ax² + bx + c=0

a=5 b=-2 and c=1

Uisng the quadratic formula to solve;

x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}

The discriminant D=b² - 4ac

Substitute the values into the discriminant formula and simplify.

D = (-2)² - 4(5)(1)

D = 4 - 20

D = -16

We can now proceed to find the solution of the quadratic equation by substituting into the quadratic formula;

x=\frac{-(-2)\pm\sqrt[]{-16}}{2(5)}

Note that:

√-1 = i

x=\frac{2\pm\sqrt[]{16\times-1}}{10}

x=\frac{2\pm\sqrt[]{16}\times\sqrt[]{-1}}{10}x=\frac{2\pm4i}{10}x=\frac{2}{10}\pm\frac{4i}{10}x=\frac{1}{5}\pm\frac{2}{5}ix=\frac{1\pm2i}{5}

That is;

\text{Either x=}\frac{1+2i}{5}\text{ or     x=}\frac{1-2i}{5}

7 0
1 year ago
Solution for 3^3x=9^x+4
Aliun [14]
3^3+9=77 if I'm wrong I'm sorry I just guess
3 0
3 years ago
Can anyone help it would mean alot im struggling right now
Setler79 [48]

Answer:

what do you need? ^-^ I can help you

6 0
3 years ago
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jeka57 [31]

I hope this helps you

7 0
3 years ago
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the sh
Rzqust [24]
One property of the diagonals of a rhombus is that they are perpendicular bisectors of each other. So 4 congruent right triangles will be formed when you draw the two diagonals. Considering one right triangle, we can solve for the two sides by dividing them by 2.
24 ft/ 2 = 12 ft
18 ft/ 2 = 9 ft

Using the Pythagorean Theorem, we can now solve for the hypotenuse which is the side of the rhombus.
side = √(12²+9²) = 15 ft

The answer is B.
8 0
3 years ago
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