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Monica [59]
3 years ago
7

What is the value of y in the solution to the system of equations?

Mathematics
1 answer:
Alex17521 [72]3 years ago
4 0

Answer:

y-value = 8

Step-by-step explanation:

1/3x + 1/4y = 1 is the same as 4/12x + 3/12y = 1

which is the same as (4x + 3y)/12 = 1

which is the same as 4x + 3y = 12

add both equations and the 'y' will cancel and you will have 6x = -18

x = -3

2(-3) - 3y = -30

-6 - 3y = -30

-3y = -24

y = 8

You might be interested in
The slope of a line that is parallel to each line whose equation is given
Kobotan [32]
Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
  y = -3/8(x) + 3/2, slope = -3/8

slope of a line that is parallel = -3/8

2)5x+4y = 5
  4y = -5x + 5
    y = -5/4(x) + 5/4; slope is -5/4

slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal

3)
3x+8y = 11
 8y = -3x + 11
   y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3

4)
x = -7, slope is undefined
so slope of perpendicular line is 0

5)
3x+2y = 12
2y = -3x + 12
 y = -3/2(x) + 6 ; slope = -3/2

5x - 6y = 8
6y = 4x - 8
  y = 2/3(x) - 4/3; slope is 2/3

slope is opposite and reciprocal, so the equals are perpendicular

6)
3x + y = 5
y = -3x + 5; slope = -3

6x + 2y = -15
2y = -6x - 15 
y = -3x - 7.5; slope = -3

both have slope = -3 so equations are parallel

3 0
3 years ago
X - 2y = -10 find the x and y intercepts
jok3333 [9.3K]
The Y intercept is (0,5)
The X intercept is (0,-10)
8 0
3 years ago
Each year, roughly 10^6 computer programmers each make about $ 10^5.
Xelga [282]

Answer:

100,000,000,000

Step-by-step explanation:

1 000 000 times 100 000 = 100,000,000,000

5 0
3 years ago
What is the standard form equation of the line shown below? Graph of a line going through negative 2, 3 and 1, negative 3
V125BC [204]

Answer:

3. 2x + y = −1

Step-by-step explanation:

To find the equation of the line, we write it first in the slope-intercept form:

y=mx+q

where

m is the slope

q is the y-intercept

From the graph, we see that the line crosses the y-axis at y = -1, so the y-intercept is -1:

q=-1

Now we have to find the slope, by calculating the rate of change of the line through 2 points:

m=\frac{y_2-y_1}{x_2-x_1}

Taking the two points at (-2,3) and (1,-3), we find:

m=\frac{-3-3}{1-(-2)}=\frac{-6}{3}=-2

So the equation of the line is

y=-2x-1

Now we have to re-arrange it in the standard form, so in the form

ax+bx=c

where a, b and c are integer numbers.

To do that, we simply add +2x on both sides of the equation of the line in the slope-intercept form, and we get:

y+2x=-1

So, option 3).

6 0
3 years ago
Which statement can be modeled using the expression x-5?
RideAnS [48]

I think it's A.

The difference = x - 5, where x is Jamie's height.

4 0
3 years ago
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