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elena-14-01-66 [18.8K]
2 years ago
12

2x - 3y = 1 and x + 2y = 18​

Mathematics
1 answer:
Yuliya22 [10]2 years ago
5 0

Answer:

x = 8 and y = 5

Step-by-step explanation:

2x - 3y = 1 --(1)

x + 2y = 18

x = 18 - 2y --(2)

sub (2) into (1):

2(18 - 2y) - 3y = 1

36 - 4y - 3y = 1

-7y = 1 -36

7y = 35

y = 5

x = 18 - 2(5) = 8

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<u>Option C is correct </u><u>(y + z = 6) ⋅ −3</u>

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As per the statement -

A student is trying to solve the system of two equations given below:

Equation P:   y + z = 6              ....[1]

Equation Q:  3y + 4z = 1           ....[2]

Multiply the equation [1] by -3 to both sides we have;

-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)

                   

Add equation [2] and [3] to eliminate the y-term;

z = -17

Therefore, the  possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3

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<u>The complete question is -</u>

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ 4

(3y + 4z = 1) ⋅ 4

(y + z = 6) ⋅ −3

(3y + 4z = 1) ⋅ 3

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