All categories

3 years ago

4. Which ordered pair is a solution of 3y + 2 = 2x - 5?

Mathematics

1 answer:

Lyrx [107]3 years ago

4 0

Answer:

we determine that none of the ordered pair is a solution of $3y\:+\:2\:=\:2x\:-\:5$ as none of the ordered pairs satisfy the equation.

Step-by-step explanation:

Considering the equation

$3y\:+\:2\:=\:2x\:-\:5$

Putting (-5,2) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(2\right)\:+\:2\:=\:2\left(-5\right)\:-\:5$

$8=-15$ ∵ L.H.S ≠ R.H.S

FALSE

Putting (0,-5) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(-5\right)\:+\:2\:=\:2\left(0\right)\:-\:5$

$-13=-5$ ∵ L.H.S ≠ R.H.S

FALSE

Putting (5,1) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(1\right)+\:2\:=\:2\left(5\right)-\:5$

$5\:=-5$ ∵ L.H.S ≠ R.H.S

FALSE

Putting (7,5) in the equation

$3y\:+\:2\:=\:2x\:-\:5$

$3\left(5\right)+\:2\:=\:2\left(7\right)-\:5\:\:$

$17=9$ ∵ L.H.S ≠ R.H.S

FALSE

From the above calculations, we determine that none of the ordered pair is a solution of $3y\:+\:2\:=\:2x\:-\:5$ as none of the ordered pairs satisfy the equation.

You might be interested in

What is the y-coordinate of the solution for the system of equations? x−y=−11 y+7=−2x

ICE Princess25 [194]

Answer:

$y= 5$

Step-by-step explanation:

Given the system of equations:

$x-y=-11$

$y+7=-2x$

In order to find the y coordinate of the solution we must first find the solution to this system of equations. We first start by solving one of the given equations and then substitute the answer of that into the second equation and further solve to get the final answers.

$x=y=-11$

$y+7=-2x$

$+ -7$

$y = -2x - 7$

$x - y = -11$

$y = -2x-7$

$x-(-2x-7)=-11$

$x--2x=x+2x=3x$

$3x+7=-11$

$-7$

$-11+-7=-18$

$3x=-18$

$\div3$

$-18\div3=-6$

$x=-6$

$y=-2x-7$

$y=(-2)(-6)-7$

$-2\times-6=12-7=5$

$y=5$

Hope this helps.

7 0

2 years ago

What is the n in 4 1/2 = 1 1/2n; n =

jasenka [17]

Answer:

9/11

Step-by-step explanation:

4 1/2= 9/2=11/2n

so n =9/11

so 9/2=11/2*9/11

8 0

3 years ago

13)Given triangle XYZ as shown at right find YZ rounded to the nearest tenth

blagie [28]

Part 3) Given triangle XYZ as shown at right find YZ rounded to the nearest tenth

we know that
the sum of the internal angles of a triangle add up to 180 degrees
so
m∠X=180-[55+29]----> 96°
applying the law of sines
YZ/sin X=35/sin 55°------> YZ=35*sin 96/sin 55-----> YZ=42.49
YZ=42.5 units

the answer Part 3) is
YZ=42.5 units

Part 4)
we know that
OQ/NQ=PR/NR
NQ=4X+(2X+2)---> 6X+2
OQ=2X+2
PR=15
NR=24+15----> 39
(2X+2)/(6X+2)=15/39
39*(2X+2)=15*(6X+2)
78X+78=90X+30
90X-78X=78-30
12X=48
X=4

The answer part 4) is
x=4

Part 5) A trapezoid is show below. Calculate the measure of angle x. Round to the nearest tenth of a degree

see the picture with letters attached to better understand the problem

we know that
BC=36-28-----> 8 ft

sin x=BC/AC-----> sin x=8/12
x=arc sin(8/12)-------> x=41.81°------> x=41.8°

the answer Part 5) is
x=41.8°

6 0

3 years ago

79.9 is 99% of what?

algol13

99% = 99 / 100 = 0.99

79.9 is 99% of what

= 79.9 / 99

=79.9 / 0.99

= 80.71

6 0

4 years ago

What is 1/4th of 52?

Paul [167]

The answer would be 13

3 0

3 years ago

Read 2 more answers