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earnstyle [38]
3 years ago
5

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
amm18123 years ago
3 0

Answer:

The solution of this system of equations is (3 , -8)

Step-by-step explanation:

The given system is

x + 2y = -13

12x + 5y = -4

We make x the subject of the first equation and put it into the second:

x =  - 13 - 2y

We put this expression for x into the second equation

12(-13-2y)+5y=-4

-156-24y+5y=-4

-24y+5y=-4+156

-19y=152

y=-8

We substitute y=-8 into x=-13-2y to get:

x =  - 13 - 2( - 8) = 3

The solution of this system of equations is (3 , -8)

You might be interested in
Solve the following inequality: 6x - 9 ≥ 11x - 17.
Juli2301 [7.4K]

Answer:

x ≤8/5

Step-by-step explanation:

6x - 9 ≥ 11x - 17

Subtract 6x from each side

6x -6x-9 ≥ 11x - 17-6x

-9 ≥ 5x- 17

Add 17 to each side

-9+17≥ 5x - 17+17

8≥ 5x

Divide each side by 5

8/5≥ 5x /5

8/5≥ x

5 0
3 years ago
(6+a) divided by 5 -2
pochemuha

Answer:

(6+a)/3

Step-by-step explanation:

(6+a)/5-3

5-3=2

(6+a)/2

7 0
3 years ago
Find one value of x that is a solution to the
maksim [4K]

Answer: x = {+-sqrt(3), +-2*sqrt(3)}.

Step-by-step explanation:

(x^2 - 8)^2 + (x^2 - 8) = 20

▪︎ Let (x^2 - 8) be y.

Then,

y^2 + y = 20

y^2 + y - 20 = 0

D = b^2 - 4ac = 1 + 20*4 = 81 = 9^2

y1 = (-b - sqrt(D))/(2a) = (-1 - 9)/2 = -10/2 = -5

y2 = (-b + sqrt(D))/(2a) = (-1 + 9)/2 = 8/2 = 4

1) x^2 - 8 = -5

x^2 = 8 - 5

x^2 = 3

x = +-sqrt(3)

2) x^2 - 8 = 4

x^2 = 8 + 4

x^2 = 12

x = +-sqrt(12)

x = +-2*sqrt(3)

7 0
2 years ago
Dentify the x-intercept and y-intercept of the equation below. 9x - 7y=21
trasher [3.6K]
X int can be found by subbing in 0 for y and solving for x
9x - 7y = 21
9x - 7(0) = 21
9x = 21
x = 21/9 which reduces to 7/3...so the x int is 7/3 or (7/3,0) <==

to find the y int, sub in 0 for x and solve for y
9x - 7y = 21
9(0) - 7y = 21
-7y = 21
y = -21/7
y = -3....so the y int is -3 or (0,-3) <==
6 0
3 years ago
An equation is called ________ if its solution set is empty; that is, if it has no solution.
Alex Ar [27]

Answer:

An equation is called <u>inconsistent</u> if its solution set is empty; that is, if it has no solution.

Step-by-step explanation:

An equation is called inconsistent if it has no solutions.

7 0
3 years ago
Read 2 more answers
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