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4 years ago

2x - y = 5 3x + 2y = 4

Mathematics

2 answers:

Serhud [2]4 years ago

5 0

Answer:

x = 2

y = -1

Step-by-step explanation:

Using Substitution: 2x - y = 5 3x + 2y = 4

2x - y = 5

-y = -2x + 5

y=2x - 5

3x + 2 (2x - 5) = 4 3x + 2y = 4

3x + (4x - 10) = 4 3(2) + 2y = 4

7x - 10 = 4 6 + 2y = 4

7x = 14 2y = -2

x = 2 y = -1

Ksju [112]4 years ago

3 0

Answer:

x=2 and y=−1

Step-by-step explanation:

2x−y=5

2x−y+−2x=5+−2x

−y=−2x+5

−y

−1

−2x+5

−1

y=2x−5

substitute 2x−5 for y in 3x+2y=4

3x+2y=4

3x+2(2x−5)=4

7x−10=4

7x−10+10=4+10(Add 10 to both sides)

7x=14

(Divide both sides by 7)

x=2

Substitute 2 for x in y=2x−5:

y=2x−5

y=(2)(2)−5

y=−1(Simplify both sides of the equation)

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Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

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