Question

Identify the correct answer which satisfies the linear equations:

$3x+4y=10$ and $x-y=1$

• A. $(2,1)$
• B. $(1,1)$
• C. $(-1,-1)$
• D. $(-2,1)$

Answer 1

Answer: (A)

$(2,1)$

$3x+4y=10$---(1)
$x-y=1$---(2)

Substitute the values of first option $x=2$ and $y=1$

In equations (1) and (2)

$3\left(2\right)+4\left(1\right)=10$

$6+4=10$

$10=10$

$x-y=1$

$2-1=1$

$1=1$

Therefore, the first option satisfied the linear equations.

Likewise substitute the value of second option $x=1,y=1$

$3x+4y=10$
$3\left(1\right)+4\left(1\right)=10$
$7\ne 10$
$x-y=1$
$1-1=1$
$0\ne 1$

Similarly, check the options to satisfy the linear equation.

Here, the first option satisfied the linear equation.

The solution is $(2,1)$.