All categories

2 years ago

Find the solution for the following system of equations. y = -2x + 6 y = 3x - 4

1 answer:

6 0

when you get this kind of exercise, you find need to find y or x in one of the exactions and fill it in in the other, however in this exercise the two y's are already given so all you need to do is replace the y in one of the exactions with the other exactions like this:

(keep in mind, you need to keep writing both of the exactions over again, otherwise you'll lose an exaction. and we'll need it later on)

y=-2x+6

y=3x-4

y=-2x+6

-2x+6=3x-4

y=-2x+6

-2x-3x=-4-6

y=-2x+6

-5x=-10

y=-2x+6

x= 2

and now replace the x in the first exaction with the x that we found:

y=-2(2)+6

x=2

y=-4+6

x=2

y=2

x=2

You might be interested in

Find the coordinates for the midpoint of the segment with endpoints give (3,5) and (-2,0)

Leto [7]

Answer:

The coordinates of the mid-point are :

$(\frac{1}{2}, \frac{5}{2})$

Step-by-step explanation:

We know that, the coordinates of the mid-point (x, y) of a line segment joining the points (x₁, y₁) and (x₂, y₂) is given by

$(x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )$

Now, we have the given points as (3, 5) and (-2, 0).

By using the above formula, coordinates of the mid-point (x, y) of the line-segment joining the points (3, 5) and (-2, 0) is given by,

$x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}$

$y = \frac{5+0}{2} = \frac{5}{2}$

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is $(\frac{1}{2}, \frac{5}{2})$ .

8 0

3 years ago

Enter a phrase for the expression

Nina [5.8K]

Answer:

The quotient of x and 11.

Step-by-step explanation:

Given:

$\frac{x}{11}$

Required:

Write the expression in words

Solution:

In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).

So, we are dividing x into 8 parts.

A quotient is the result you get when you divide the dividend by the divisor.

✅In describing the expression in words, we would use the following phrase:

The quotient of x and 11.

The dividend is mentioned first before the dividend.

8 0

2 years ago

PLEASE PLEASE HELP!!!

vredina [299]

The correct answer is 30

7 0

2 years ago

Add Polynomials (3y + y^3– 5) + (4y– 4y + 2y^3+ 8)

nexus9112 [7]

Step-by-step explanation:

Please refer to the attachment

8 0

2 years ago

Charlie's bill at the diner was $18.75. He left a tip of $3.40. What percentage of a tip did he leave? (Round to the nearest who

Scrat [10]

Answer:

18.1333%

Step-by-step explanation:

I THINK this is the answer,

3 0

2 years ago