Ask question

Ask question

All categories

nataly862011 [7]

3 years ago

14

How to do this math exercise 4x-2y=60 4x-3y=26

2 answers:

igomit [66]3 years ago

3 0

4x -2y = 60
4x -3y = 26
(-) (+) (-)
__________
1y = 34
y = 34

To find x
4x -2y = 60
4x -(2)(34) = 60
4x -68 = 60
4x = 60 + 68
4x = 128
x = 32

Answer:
x=32 ; y=34

OLga [1]3 years ago

3 0

Answer:

Step-by-step explanation:

4x - 2y = 60

4x - 3y = 26.....multiply by -1

-----------------------

4x - 2y = 60

-4x + 3y = -26 (result of multiplying by -1)

-----------------------add

y = 34

4x - 2y = 60

4x - 2(34) = 60

4x - 68 = 60

4x = 60 + 68

4x = 128

x = 128/4

x = 32

check...

4x - 3y = 26

4(32) - 3(34) = 26

128 - 102 = 26

26 = 26 (correct)

so x = 32 and y = 34.....or (32,34)

You might be interested in

Which of the following statements are true?

Butoxors [25]

Answer:

D

Step-by-step explanation:

i think it's correct if not I'm sorry

3 0

3 years ago

F(x) = x2 what is g(x)?

Naily [24]

Answer:

i got the same problem

Step-by-step explanation:

3 0

3 years ago

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5),

nikklg [1K]

Step-by-step explanation:

<u>Step 1: Solve using the first point</u>

<em>(2, 28)</em>

$28 = a(2)^3 + b(2)^2 + c(2) + d$

$28 = 8a + 4b + 2c + d$

<u>Step 2: Solve using the second point</u>

<em>(-1, -5)</em>

$-5 = a(-1)^3 + b(-1)^2 + c(-1) + d$

$-5 = -a + b - c + d$

<u>Step 3: Solve using the third point</u>

<em>(4, 220)</em>

$220 = a(4)^3 + b(4)^2 + c(4) + d$

$220 = 64a + 16b + 4c + d$

<u>Step 4: Solve using the fourth point</u>

<em>(-2, -20)</em>

$-20 = a(-2)^3 + b(-2)^2 + c(-2) + d$

$-20 = -8a + 4b - 2c + d$

<u>Step 5: Combine the first and fourth equations</u>

<u /> $28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d$

$8 = 8b + 2d$

$8 - 8b = 8b - 8b + 2d$

$(8 -8b)/2 = 2d/2$

$4 - 4b = d$

<u>Step 6: Solve for c in the second equation</u>

$-5 + 5 = -a + b - c + d + 5$

$0 + c = -a + b - c + c + d + 5$

$c = -a + b + d + 5$

<u>Step 7: Substitute d with the stuff we got in step 5</u>

$c = -a + b + (4 - 4b) + 5$

$c = -a + b + 4 - 4b + 5$

$c = -a - 3b + 9$

<u>Step 8: Substitute d and c into the first equation</u>

<u /> $28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)$

$28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b$

$28 - 22 = 6a - 6b + 22 - 22$

$6 / 6 = (6a - 6b) / 6$

$1 + b = a - b + b$

$1 + b = a$

<u>Step 9: Substitute a, b, and c into the third equation</u>

$220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)$

$220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b$

$220 - 100 = 60b + 100 - 100$

$120 / 60 = 60b / 60$

$2 = b$

<u>Step 10: Find a using b = 2</u>

$a = b + 1$

$a = (2) + 1$

$a = 3$

<u>Step 11: Find c using a = 3 and b = 2</u>

$c = -a - 3b + 9$

$c = -(3) - 3(2) + 9$

$c = -3 - 6 + 9$

$c = 0$

<u>Step 12: Find d using b = 2</u>

$d = 4 - 4b$

$d = 4 - 4(2)$

$d = 4 - 8$

$d = -4$

Answer: $a = 3, b = 2, c = 0,d = -4$

6 0

3 years ago

Read 2 more answers

Factorizar: (11x3 – 2y)2 =

Juliette [100K]

Answer:

66-4y

Step-by-step explanation:

(11x3 – 2y)2
= (33 -2y)2
= 66-4y

6 0

3 years ago

Read 2 more answers

Can you convert 0.75 0.07

Tems11 [23]

0.75 = 3/4 = 75%
0.07 = 7/100 = 7%

4 0

3 years ago