Question

If 3x+5y=10 and 2x+3y = 7 then 2x+y is equal to--- ​

Answer 1

Answer:

9

Step-by-step explanation:

3x+5y=10 multiply with 2 => 6x+10y=20 -->eqn a

2x+3y=7 multiply with 3 => 6x+9y=21 --> eqn b

Solve a and b equations,

y=-1

put y value in first equation,

3x+5(-1)=10

3x-5=10

3x=15

x=5

Now,

2x+y=2(5)+(-1)

=10-1

=9

Answer 2

Answer:

2x+y=9

Step-by-step explanation:

3x+5y=10 --- 1st equation

2x+3y=7 --- 2nd equation

taking eq.1 = 3x+5y=10

3x= 10-5y

x=10-5y/3

put the value of x to eq.2

2× 10-5y/3 +3y=7

20-10y/3 +3y =7

20-10y+3y×3/3=7

20-10y+9y/3=7

20-y= 7×3

20-y = 21

y = -1

put the value of y in any equation let's take eq.1

3x+5y=10

3x+5×(-1)=10

3x-5=10

3x=10+5

3x=15

x=15/3

x=5

put both the values in 3rd equation

2x+y

2×5-1

10-1

9

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