All categories

3 years ago

Solve the system using substitution x=3y-11 4x-3y=-26

Mathematics

1 answer:

iragen [17]3 years ago

3 0

Answer:

x=3y-11

then now putting the value of x in second equation

4(3y-11)-3y =26

12y - 44-3y=26

9y=44+26

9y=70

y=70/9

now putting the value of y in 1st equation then

x=3*70/9-11

x=37/3

now checking this is correct or not in 2nd eqn

4*37/3-3*70/9=26

148-70/3=26

26=26

Step-by-step explanation:

You might be interested in

the circumference of a circle is 11pi inches. what is the area, in square inches, of the circle? express in terms of pi.

zmey [24]

Circumference = 2 * pi * r, where r is the radius
For this circle, the circumference is 11pi, so 11pi=2*pi*radius. Divide both sides by 2pi and you get r is = to 5.5 inches.

Area of a circle is pi*r^2. Since we just saw that r = 5.5 inches, the circle has an area of 5.5 inches * 5.5 inches * pi or 30.25 pi inches squared.

8 0

2 years ago

Read 2 more answers

The diagram below shows the dimensions of a triangular park built in a new housing development. Two side lengths and one angle m

evablogger [386]

ANSWER

$x = 50.5 \degree$

EXPLANATION

We use the sine rule for solving triangles.

This is given by the formula,

$\frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c}$

From the triangle,

$\frac{ \sin(x) }{60} = \frac{ \sin(40) }{50}$

We multiply both sides of the equation by 60 to get,

$sin(x) = \frac{ 60\sin(40 \degree) }{50}$

$sin(x) = 0.7713$

We solve for x to obtain,

$x = arcsin(0.7713)$

$x = 50.475$

To the nearest tenth, we round to one decimal place to get,

$x = 50.5 \degree$

7 0

3 years ago

Nshdjdfhdjdjddjjddjjddjdjdk

Allushta [10]

Answer:

yes

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Translate the following sentence into an equation, then find the number. Five times a number less than 18 is is equal to 13.

Nata [24]

Answer:

The answer would be 5x-18=13

Step-by-step explanation:

When given five times than a number, 5 would be multiplied by (x) since x can be any number. Less than 18 means subtract 18. Is equal to means an eual sign and the equation is equal to 13.

7 0

3 years ago

The number of people in an auditorium can be described by 9^3 how many people are in the auditorium

Advocard [28]

9^3
729
729 people

Answer: 729 people

8 0

2 years ago

Read 2 more answers