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Lilit [14]
1 year ago
12

What is the value of the x variable in the solution to the following system of equations? 3x + 2y = 8 2x + 3y = 2

Mathematics
2 answers:
jolli1 [7]1 year ago
8 0
3x+2y=8 \ \ \ \ \ |\times 3 \\
2x+3y=2 \ \ \ \ \ |\times (-2) \\ \\
9x+6y=24 \\
\underline{-4x-6y=-4} \\
5x=20 \\
x=\frac{20}{5} \\
x=4

The answer is A.
malfutka [58]1 year ago
4 0
Solve your system of equations.

3x+2y=8;2x+3y=2

Solve 3x+2y=8 for x:

3x+2y+−2y=8+−2y(Add -2y to both sides)

3x=−2y+8

3x/3=−2y+83(Divide both sides by 3)

x=−2/3y+8/3

Substitute (−2/3y+8/3) for x in 2x+3y=2:

2x+3y=2

2(−2/3y+8/3)+3y=2

5/3y+16/3=2(Simplify both sides of the equation)

5/3y+16/3+−16/3=2+−16/3(Add (-16)/3 to both sides)

5/3y=−10/3

5/3y5/3=−10/35/3(Divide both sides by 5/3)

y=−2

Substitute (−2) for y in x=−2/3y+8/3:

x=−23y+83

x=−23(−2)+83

x=4(Simplify both sides of the equation)

Answer is A)

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It took Ivan 7 1/2 hours to drive 412.5 miles at a constant speed. How fast was he driving? Show how you know.
damaskus [11]

Answer:

55

Step-by-step explanation:

412.5 / 7.5 =55

5 0
2 years ago
Uche pumps gasoline at a rate of 18\,\dfrac{\text{L}}{\text{min}}18 min L ​ 18, start fraction, start text, L, end text, divided
Fiesta28 [93]

Answer:

Uche's pumping rate is <u>300 mL/s</u>.

Step-by-step explanation:

Given:

Uche pumps gasoline at a rate of 18 L/min.

Now, to find Uche's pumping rate in mL/s.

The rate at which Uche pumps gasoline = 18 L/min.

So, to get the pumping rate in mL/s we use convert L/min to mL/s by using conversion factor:

<u>1 L/min = 16.6667 mL/s.</u>

18 L/min = 16.6667 × 18 mL/s.

18L/min = 300 mL/s.

Therefore, Uche's pumping rate is 300 mL/s.

8 0
1 year ago
A pebble is tossed into the air from the top of a cliff. The height, in feet, of the pebble over time is modeled by the equation
Charra [1.4K]

Answer:

96

Step-by-step explanation:

The maximum height reached by the pebble modeled by the quadratic function,

h(t)=-16t^2+32t+80, can be found by finding the vertex.

Let's first find the t-coordinate of the vertex . The max height will correspond to this value of t which means we have to find the h(t)-coordinate.

When comparing h to at^2+bt+c, we see that:

a=-16

b=32

c=80

We need to evaluate the following to find the t-coordinate of the vertex:

t=\frac{-b}{2a}

t=\frac{-32}{2(-16)}

t=\frac{-32}{-32}

t=1

So now to find the correspond h(t)-coordinate, we will need to replace t in -16t^2+32t+80 with 1:

-16(1)^2+32(1)+80

-16(1)+32+80

-16+32+80

16+80

96

5 0
1 year ago
Round each weight to the nearest whole gram. Then estimate the total weight of the coins in Allen’s hand. 2.500,5.000,2.268,5.67
irina1246 [14]
So the rounded weights would be 3, 5, 2, 6, and 11, as when you round, you look at the number to the right of the one you want to round to. If it's 5 or larger, you add one to the spot you're rounding to, and make the rest of the numbers after into zeroes. If it's below 5, just change the ones after the one you want to round to into zeroes and don't add one.

Then for the estimating of the weight, you would add them together. 3+5+2+6+11. That would equal 27, so the estimate weight is 27 grams.
8 0
1 year ago
PLEASE HELP!! WILL MARK BRAINLIEST AND THANK YOU!!!
lorasvet [3.4K]

Answer:

x = 9

Step-by-step explanation:

The trick here is knowing that JKM and MKL are equal, which means MKL is equal to JKL/2. From that knowledge, we can solve.

MKL = JKL/2

5x + 1 = 46

5x = 45

x = 9

5 0
2 years ago
Read 2 more answers
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