1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kenny6666 [7]
3 years ago
12

7x +2y = 24 8x+2y= 30 What is x and y

Mathematics
2 answers:
Liula [17]3 years ago
7 0

Answer:

x = 6

y = -9

Step-by-step explanation:

we have:

7x +2y = 24    equation 1

8x+2y= 30     equation 2

using equation 2 we have:

8x = 30 -2y

x=\frac{30-2y}{8}  equation 3

using equation 3 in equation 1 we have:

7(\frac{30-2y}{8})+2y = 24

\frac{210}{8} - \frac{14y}{8} +2y =24\\\\\frac{1}{4}y = -\frac{18}{8}  \\\\y=-\frac{18}{8} * 4\\\\y=-9

so we have:

x=\frac{30-2(-9)}{8}

x=\frac{30+18}{8}

x=6

Luba_88 [7]3 years ago
5 0

For 7x +2y = 24, the answer for x is \frac{-2}{7}y+\frac{24}{7} and y is \frac{-7}{2}+12x

Solve: (x)Let's solve for x.

7x+2y=24

Step 1: Add -2y to both sides.

7x+2y+−2y=24+−2y

7x=−2y+24

Step 2: Divide both sides by 7.

7x/7=-2y+24/7

(y) Let's solve for y.

7x+2y=24

Step 1: Add -7x to both sides.

7x+2y+−7x=24+−7x

2y=−7x+24

Step 2: Divide both sides by 2.

2y/2=-7x+12/2

For 8x+2y= 30, the answer for x isx=\frac{-1}{4}y+\frac{15}{4} and y is y=-4x+15

Solve:(x)Let's solve for x.

8x+2y=30

Step 1: Add -2y to both sides.

8x+2y+−2y=30+−2y

8x=−2y+30

Step 2: Divide both sides by 8.

8x/8=-2y+30/8

(y)Let's solve for y.

8x+2y=30

Step 1: Add -8x to both sides.

8x+2y+−8x=30+−8x

2y=−8x+30

Step 2: Divide both sides by 2.

2y/2=-8x+30/2

You might be interested in
In a two column proof the left column contains a series of deduction?
horsena [70]
True because the right columns are statements.
<span />
3 0
3 years ago
The cost of John’s bike(p) cannot exceed $5,000. Write this sentence in the form of a set notation.
lakkis [162]

Answer:

p = \{x \ |  \ x \in Q^+ \  and \ x \leq \$5,000 \}

Step-by-step explanation:

The expression for the cost of John's bike (p) using set notation can written as follows;

We note that the cost of the bike is a member of the positive rational number  and the cost price of the bike cannot exceed $5,000, therefore, it is less than or equal to $5,000, therefore, we get the following set notation;

p = \{x \ |  \ x \in Q^+ \  and \ x \leq \$5,000 \}

5 0
2 years ago
Find the distance between (3, 8) and (7, -11). Round to the nearest hundredth.
Mama L [17]
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
===============
mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)

midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
               = ((12/2) , (-2,2))
               = (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
               = (-17/2, 18/2)
               = (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
               = (-3/2), (4 + 6)/2
               = (-1.5,5)
               y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3

y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2

y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
====================
sorry...not too good with the picture graphs







4 0
3 years ago
A student wants to prove that the diagonals of a parallelogram bisect each other. The student provides the diagram and proof bel
kifflom [539]

Answer:

  C  AAA is not an accepted triangle congruence criterion

Step-by-step explanation:

AAA can be used to show similarity, but not congruence. At least one side must be involved in any triangle congruence claim.

__

The student could have made use of the fact that opposite sides are the same length, and used AAS or ASA to show congruence.

5 0
3 years ago
Read 2 more answers
Mari and Jen each work 20 hours a week at different jobs. Mari earns twice as much as Jen. Together they can earn $480. How much
sasho [114]
Hey there!

In word problems, remember that not every number they give you is important. For example, here, they tell you that they both work 20 hours a week. This information isn't important in creating an equation to represent the situation. 

Let's say that x is the amount that Jen makes. Therefore, 2x will be the amount that Mari makes since she makes twice as much as Jen. Together, the amounts they make adds up to 480, meaning that the entire equation will be:

x + 2x = 480

All we need to do is solve this for x, plug x back into the equation, and solve. 

1x + 2x = 480 (combine 1x and 2x)
3x = 480 (divide both sides by 3)
x = 160

Now, plug 160 in for x in the original equation to check and solve for how much Mari makes (she's represented by 2x). 

160 (Jen) + 2(160) (Mari) = 480
160 (Jen) + 320 (Mari) = 480
480 (Jen + Mari) = 480

Jen makes $160 a week and Mari makes $320 a week. 

Hope this helped you out! :-)
3 0
3 years ago
Other questions:
  • Marshall sleeps 8 hrs each day. How many hrs does Marshall sleep each week? How many hours is Marshall awake?
    5·2 answers
  • Which unit rate is equivalent to 15 miles per gallon?
    13·1 answer
  • GEOMETRY HELP ASAP I'M FAILING. I did the first half now i cant figure this out!!?
    8·1 answer
  • What is 2+2x-1+x2-(4x-3x)=x2+5
    5·1 answer
  • Consider the quadratic function f(x) = x2 – 5x + 6.
    11·1 answer
  • *Due tonight, plz help*
    5·1 answer
  • A breakfast diner ordered milk with 1.5% fat but 30 liters of milk with 5% fat were delivered. How many liters of milk with 0% f
    5·1 answer
  • Slope 0; through (-5, -1)<br> with steps please.
    12·1 answer
  • PLEASE HELP! ( no random links )
    9·1 answer
  • Help ASAP Pleaseeeee
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!