Choose whether the given statement is true or false.The solution of the given equations 2x+y=5 and 3x+2y=8 is x = 1 and y = 2.

# Choose whether the given statement is true or false.The solution of the given equations $2x+y=5$ and $3x+2y=8$ is x = 1 and y = 2.

1. A
True
2. B
False

Fill Out the Form for Expert Academic Guidance!l

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

I agree to the terms and conditions and privacy policy.

### Solution:

$2x+y=5$  …(i)
$3x+2y=8$ …(ii)
Multiply eq (i) with 2, we get
4x + 2y = 10 …(iii)
Subtracting eq (ii) from (iii), we get
4x + 2y – 3x – 2y = 10 – 8
x = 2
Put the value of x in eq (i), we have
4 + y = 5
y = 1
The correct statement is “The solution of the given equations $\mathbit{2}\mathbit{x}\mathbit{+}\mathbit{y}\mathbit{=}\mathbit{5}$ and $\mathbit{3}\mathbit{x}\mathbit{+}\mathbit{2}\mathbit{y}\mathbit{=}\mathbit{8}$ is x = 2 and y = 1.”
Hence, the given statement is false.

## Related content

 Area of Square Area of Isosceles Triangle Pythagoras Theorem Triangle Formula Perimeter of Triangle Formula Area Formulae Volume of Cone Formula Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics

Talk to our academic expert!

+91

Live ClassesBooksTest SeriesSelf Learning

Verify OTP Code (required)

I agree to the terms and conditions and privacy policy.