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2 years ago

What is the solution to the system of equations using the linear combination method {4x+y=5, 3x+y=8?

Mathematics

2 answers:

erastovalidia [21]2 years ago

5 0

4x + y = 5
3x + y = 8
y = -3x + 8

4x +(-3x + 8) = 5
4x -3x + 8 = 5
x + 8 = 5
x = -3

y = -3(-3) + 8
y = -9 + 8
y = -1

Mekhanik [1.2K]2 years ago

3 0

Answer:

x = -3 and y = 17

Step-by-step explanation:

The given system of equations is

4x + y = 5 --------(1)

and 3x + y = 8 ----------(2)

Now we subtract equation (2) from equation (1)

(4x+y) - (3x+y) = 5 - 8

(4x - 3x) + (y-y) = -3

x = -3

Now we put x = -3 in equation (1)

4(-3) + y = 5

-12 + y = 5

y = 5 + 12 = 17

Therefore, x = -3 and y = 17 is the solution of the given system of equations.

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2 years ago

–34 = –2(g − 70) g = _____

olganol [36]

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▹ Answer

g = 87

▹ Step-by-Step Explanation

-34 = -2(g - 70)

Divide both sides

17 = g - 70

Rearrange the terms

-g + 17 = 70

Calculate

-g = -87

Change the signs

g = 87

Final Answer

g = 87

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7 0

2 years ago

Read 2 more answers

The triangular numbers are defined by the recursive formula t1 = 1, tn = tn - 1 + n, where n ∈N and n > 1. What are the first

GalinKa [24]

ANSWER

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

EXPLANATION

The recursive formula is,

$t_1=1,t_n=t_{n-1}+n$

when n is a natural number greater than 1.

When n=2,

$t_2=t_{2-1}+2$

$t_2=t_{1}+2 = 1 + 2 = 3$

when n=3,

$t_3=t_{2}+2 = 3 + 3= 6$

when t=4,

$t_4=t_{3}+2 = 6+ 4= 10$

When t=5,

$t_5=t_{4}+5 = 10 + 5 = 15$

when t=6,.

$t_6=t_{5}+6 = 15 + 6 = 21$

when t=7

$t_7=t_{6}+7 = 21 + 7 = 28$

When t=8,

$t_8=t_{7}+8 = 28 + 8 = 36$

When t=9,

$t_9=t_{8}+9 = 36 + 9 = 45$

Hence the first nine triangular number are

C) 1, 3, 6, 10, 15, 21, 28, 36, 45

3 0

2 years ago

Check if (1,6) is the solution to the system shown below

Andre45 [30]

Answer:

Step-by-step explanation:

To determine if (1, 6) is a solution, substitute x = 1, y = 6 into the left side of both equations and if the value obtained equals the right side then it is a solution.

10(1) - 6 = 10 - 6 = 4 ≠ - 6

- 10(1) + 5(6) = - 10 + 30 = 20 ≠ 30

Then (1, 6 ) is not a solution to the system

4 0

2 years ago

Find the solutions of the quadratic equation - 2^2+ 3x – 3 = 0

Assoli18 [71]

Answer:

-1/3

Step-by-step explanation:

2^2 + 3x - 3 = 0

4 - 3 + 3x = 0

1 + 3x = 0

x = -1/3

Hope it helps

7 0

1 year ago