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3 years ago

Solve the following equation for x.

Mathematics

1 answer:

Vaselesa [24]3 years ago

7 0

Solve for x (isolate/get x by itself)

$\frac{1}{4}x-7=\frac{3}{8}x-5$ Add 5 on both sides

$\frac{1}{4}x-7+5=\frac{3}{8}x-5+5$

$\frac{1}{4}x-2=\frac{3}{8}x$ Subtract 1/4x on both sides

$\frac{1}{4}x-\frac{1}{4}x-2=\frac{3}{8}x-\frac{1}{4}x$

$-2=\frac{3}{8}x-\frac{1}{4}x$ Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x

$-2=\frac{3}{8}x-\frac{2}{8}x$

$-2=\frac{1}{8}x$ Multiply 8 on both sides

$-2(8)=(8)\frac{1}{8}x$

-16 = x

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Natali5045456 [20]

Answer:

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Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

7 + 2y = 8x 3x - 2y = 0 Solve the system of equations by substitution. (70/3, 140/9) (7/5, 21/10) no solution coincident

Wittaler [7]

So we have the system of equations:
$7+2y=8x$ equation (1)
$3x-2y=0$ equation (2)

To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for $x$ in equation (2):
$3x-2y=0$
$3x=2y$
$x= \frac{2}{3}y$ equation (3)

Replacing equation (3) in equation (1):
$7+2y=8x$
$7+2y=8( \frac{2}{3} y)$
$7+2y= \frac{16}{3} y$
$7= \frac{10}{3} y$
$y= \frac{7}{ \frac{10}{3} }$
$y= \frac{21}{10}$ equation (4)

Replacing equation (4) in equation (3):
$x= \frac{2}{3}y$
$x=( \frac{2}{3} )( \frac{21}{10} )$
$x= \frac{7}{5}$

We can conclude that the solution of our system of equations is <span>(7/5, 21/10)</span>

5 0

3 years ago

Solve the system of equations by using the addition method

Paha777 [63]

How do you solve this system of equations using the addition method:
4
x
−
y
=
−
4
;
5
x
+
2
y
=
−
18
?
Algebra
1 Answer

IDKwhatName
Jun 30, 2017
x
=
−
2
,
y
=
−
4
Explanation:
Right now, you have:
4
x
−
y
=
−
4

5
x
+
2
y
=
−
18
To make this easier, you must get rid of one variable, in this case I will remove
y
, to do this you must make the y-values in both equations the same.
To do this, I will multiply the whole of
4
x
−
y
=
−
4
by 2 to give
8
x
−
2
y
=
−
8
We now have:
8
x
−
2
y
=
−
8

5
z
+
2
y
=
−
18
All we need to do now is
(
8
x
−
2
y
+
5
x
+
2
y
)
=
(
−
18
−
8
)
≡
13
x
=
−
26
.
Divide both sides by 13 to find
x
:
13
x
=
−
26

13
x
13
=
−
26
13

x
=
−
2
Now put your value for
x
into either equation:
4
(
−
2
)
−
y
=
−
4

−
8
−
y
=
−
4

y
=
−
8
+
4

y
=
−
4
x
=
−
2
;
y
=
−
4
Answer link

7 0

3 years ago

A rectangle is a quadrilateral in which all four angles have equal measures. (hence

Arisa [49]

Yes, quadrilateral means its four angles have equal measures.

8 0

4 years ago

Rachel enjoys exercising outdoors. Today she walked 5 2/3 miles in 2 2/3 hours. What is Rachel's unit walking rate in miles per

anyanavicka [17]

Answer:

a) 2 1/8 miles per hour

b) 8/17 hours per mile

Step-by-step explanation:

To find the rate in mile per hour, divide miles by hours:

(5 2/3 mi)/(2 2/3 h) = (17/3 mi)/(8/3 h) = 17/8 mi/h = 2 1/8 mi/h

To find the rate in hours per mile, invert that number:

1/(17/8 mi/h) = 1/((17 mi)/(8 h)) = (8 h)/(17 mi) = 8/17 h/mi

8 0

3 years ago