Y=-x+2 y=-5x-6 What is y and x

1 answer:

6 0

To solve this system of equations, since y is already isolated in both equations, you can set the expressions to equal each other to solve for x:

-x + 2 = - 5x - 6
-x + 5x = -6 - 2
4x = -8
x = -2

Now that we have x, we can substitute it into one of the equations to find y:

y = -(-2) + 2
y = 2 + 2
y = 4

The last step is to substitute both values into both equations to see if they are correct:

4 = -(-2) + 2 --> 4 = 2 + 2 <--True
4 = -5(-2) - 6 --> 4 = 10 - 6 <--True

Answer:
x = -2
y = 4

You might be interested in

What is the x intercept of the equation that passes through (1,-6) and is perpendicular to y=1/3x +1

fomenos

$\bf y=\stackrel{slope}{\cfrac{1}{3}}x+1\impliedby \textit{slope of this line, so a perpendicular will be}
\\\\\\
\textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{1}{3}\\\\
negative\implies -\cfrac{1}{ 3}\qquad reciprocal\implies - \cfrac{ 3}{1}\implies -3\\\\
-------------------------------\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1\\
&&(~1 &,& -6~)
\end{array}$

$\bf slope = m\implies -3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-6)=-3(x-1)
\\\\\\
y+6=-3x+3\implies 0+6=-3x+3\implies 3=-3x\implies \cfrac{3}{-3}=x
\\\\\\
-1=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad (~-1~,~0~)$

8 0

3 years ago

I need help with number 8,please.

kodGreya [7K]

Let x be equal to the number of drinks Yasmine consumed.
Jose had 2 times that drink so his number of consumed drink would be represented by 2x.
Sally had 3 fewer drink than Jose so her number of consumed drinks would be represented by 2x-3.
Altogether, the three of them consumed 72 drinks so your equation would be:
x+2x+(2x-3)=72
add like terms together:
5x-3=72
have the term with x be alone on one side of the equation, in this case by adding three to both sides:
5x=75
now divide both sides by five for the value of x and your answer is.....
x=15

7 0

3 years ago

Read 2 more answers

Order the integers from least to greatest. -7 2 6 -4 3

tangare [24]

-7, -4, 2, 3, 6.

Hoped I helped!

7 0

3 years ago

Read 2 more answers

Find the least common multiple of 6c^3 and 15y

zubka84 [21]

Answer:

The answer is 30c^3y

Step-by-step explanation:

The LCM is the smallest number that all the numbers can divide in.

6 0

2 years ago

The expression 62.4d-21062.4d−21062, point, 4, d, minus, 210 gives the number of Indian rupees you receive when you exchange \$d

Arisa [49]

601.2 rupees You've been given the equation: r = 62.4d - 210 I will assume that 62.4 is the actual exchange rate and that the 210 is a service fee of some sort for performing the exchange. So with 13 dollars, let's substitute that value into the equation and calculate: r = 62.4d - 210 r = 62.4*13 - 210 r = 811.2 - 210 r = 601.2 So you'll get 601.2 rupees.

8 0

3 years ago

Read 2 more answers