All categories

3 years ago

-3x-3y=3 5x+y=-17 Substitution What does x and what does y equal

Mathematics

2 answers:

earnstyle [38]3 years ago

5 0

Answer:

$x=-4\\\\y=3$

Step-by-step explanation:

Given Equations:

$-3x-3y=3$ Equation:1

$5x+y=-17$ Equation:2

Solving Equation:2 for the value of 'y'

$5x+y=-17$

Subtracting '5x' both sides:

$y=-17-5x$ Equation:3

Using substitution method: Put the value of 'y' in equation:1

$-3x-3y=3$

$-3x-3(-17-5x)=3\\\\-3x-3(-17)-3(-5x)=3\\\\-3x+51+15x=3\\\\12x+51=3\\\\$

Subtracting '51' both sides:

$12x=3-51\\\\12x=-48\\\\x=-48/12\\\\x=-4$

Putting the value of 'x' in equation:3

$y=-17-5x$

$y=-17-5(-4)\\\\y=-17+20\\\\y=3$

The values of 'x' and 'y' are:

$x=-4\\\\y=3$

bearhunter [10]3 years ago

5 0

Answer:

Step-by-step explanation:

-3x - 3y = 3 ---------(i)

5x + y = -17

y = -5x - 17

Substitue y value in equation (i)

-3x - 3*(-5x - 17) = 3

-3x -3*(-5x) -3*(-17) =3

-3x + 15x + 51 = 3

12x + 51 = 3

12x = 3 - 51

12x = -48

x = -48/12

x =-4

Sustitute x value in Equation (i)

-3*(-4) - 3y = 3

12 - 3y = 3

-3y = 3 -12

-3y = -9

y =-9/-3

y = 3

You might be interested in

Write the number five hundred two thousand, six hundred seventy-eight in standard form.

Arada [10]

The answer is 502678

8 0

2 years ago

A point has the coordinates (0, k).

Lemur [1.5K]

**Answer**:
The Reflection across y axis
Step-by-Step Explanation:
A reflection across the y axis with x Coordinate of 0 will stay 0 and also does
Not change the y Coordinate of k

~ hope this helps

3 0

3 years ago

Read 2 more answers

Anyone can help me solve this equation using cross multiplying

Natali5045456 [20]

9514 1404 393

Answer:

x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)$

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

$3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}$

_____

Comment on "cross multiply"

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes what the result looks like. It doesn't adequately describe how you get there. The one and only rule in solving Algebra problems is "whatever is done to one side of the equation must also be done to the other side of the equation." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "multiply by the product of the denominators and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

$\displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}$

8 0

2 years ago

2+10²× 1 ( I put a lot of Points )

Brilliant_brown [7]

Answer:

= 2+10²× 1

= 2+(10*10)× 1

= 2+100×1

= 2+100

=102

8 0

3 years ago

Read 2 more answers

Try to estimate the probability you'd turn on the radio and hear a song you were thinking about. In other words, estimate the pr

Black_prince [1.1K]

Probabilities are used to determine the likelihood of events

The value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056

<h3>How to estimate the probability</h3>

To calculate the probability, we make use of the following representations:

Event A represents the likelihood of thinking of a song
Event B represents the likelihood of turning on the radio and hearing the song

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = P(A) * P(B)

Assume that:

P(A) = 0.12 and P(B) = 0.47

So, we have:

P(thinking of a song)P(turn on the radio and hear the song) = 0.12* 0.47

Evaluate the product

P(thinking of a song)P(turn on the radio and hear the song) = 0.0564

Approximate

P(thinking of a song)P(turn on the radio and hear the song) = 0.056

Hence, the value of the probability P(thinking of a song)P(turn on the radio and hear the song) is 0.056