Solve for y 2x-5y=10

Mathematics

2 answers:

scZoUnD [109]3 years ago

6 0

Answer:

y = 2/5x - 2

Step-by-step explanation:

Step 1: Write equation

2x - 5y = 10

Step 2: Solve for y

Subtract 2x on both sides: -5y = 10 - 2x
Divide both sides by -5: y = -2 + 2/5x
Rewrite: y = 2/5x - 2

nika2105 [10]3 years ago

3 0

Y= 2/5x-2
explanation:
write the equation out—

-5y=10-2x

subtract 2x from both sides —

-5y=10-2x

divide both sides by -5 —

y=-2+2/5x

rewrite your equation —

y= 2/5x-2

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−2(2x+3)≤26 - 2 2 x + 3 ≤ 26 ?

SashulF [63]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26.$

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$- 2 ( 2 x + 3 ) \leq 26$

Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

$2x+3\geq \frac{26}{-2} \\$

Divide 26 by -2..we'll get the answer as -13.

$2x+3\geq -13$

Now, subtract 3 from both the sides.

$2x\geq -13-3$

Subtracting -13 by 3..we'll get the answer as -16.

$2x\geq -16$

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

$x\geq \frac{-16}{2} \\$

Divide -16 by 2..we'll get the answer as -8.

$\huge \boxed{ \boxed{ \bf \: x\geq -8 }}$

The correct answer is ⇨ x greater than or equal to -8.

3 0

2 years ago

1. What values of a, b, and c would you use in the quadratic formula for the following equation?

Archy [21]

Question (1):
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4

Question (2):
The given expression is:
-5 + 2x² = -6x
Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)

Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.

Hope this helps :)