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worty [1.4K]
4 years ago
13

Solve 4x-3y=-1 and 2x+3y=13 using the elimination method

Mathematics
2 answers:
patriot [66]4 years ago
7 0

Answer:

Step-by-step explanation:

Natasha_Volkova [10]4 years ago
5 0

Answer:

Step-by-step explanation:

4x-3y=-1 ...(1)  

2x+3y=13..(2)

add (1) and (2) : 4x-3y + 2x+3y = -1 +13

6x =12

x = 12/6 = 2

put x = 6 in (2) : 2(2)+3y = 13

4+3y =13

3y =9

y=3

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22. Solve 7x - 9 = 28+ 4(x - 1).<br> X=-3<br> X=3<br> x = 11<br> X=-11​
aleksley [76]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

<u><em>Steps:</em></u>

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

Learn more here:

brainly.com/question/27844321

brainly.com/question/21222758

7 0
2 years ago
Read 2 more answers
two buses leave a station at the same time and travel in opposite directions. One bus travels 15 km/h faster than the other. If
Marina CMI [18]

The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

<h3>What is speed?</h3>

Speed is a scalar quantity that refers to "how fast an object is moving".

Given that, two buses leave a station at the same time and travel in opposite directions, one bus travels 15 km/h faster than the other, the two buses are 1004 kilometres apart after 4 hours,

Speed = distance/ time

Let the speed of the slower bus be v and the faster bus be (v+15)

According to the question,

vt + (v+15)t = 1004

vt + vt + 15t = 1004

t = 4

4v + 4v + 60 = 1004

8v = 944

v = 118

Hence, The speed of slower bus is 118 km/hr and speed of faster bus is 133 km/hr

For more references on speed, click;

brainly.com/question/7359669

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8 0
1 year ago
Which is greater than, less than, and equal to 18 tons or 36,000 lbs?
slamgirl [31]
36000 lbs = 16329.325 kg
18 ton = 18000kg

18 ton is greater
5 0
4 years ago
A triangle has sides with lengths of 14 centimeters, 36 centimeters, and 39 centimeters. Is it a right triangle?
andreev551 [17]

Answer:

no

Step-by-step explanation:

this is because it does not follow the pythogras theorem which states that a^2+b^2=c^2

8 0
3 years ago
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly
Ghella [55]

Answer: Clearify

Step-by-step explanation:

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