Question

The solution for the following pair of equations
$y=2+5x$ and $y+3x=10$ is

• A. $(2,12)$
• B. $(0,10)$
• C. $(3,1)$
• D. $(1,7)$

Answer 1

The correct option is D $(1,7)$

Given,
$y=2+5x\dots \left(i\right)$
$y+3x=10\dots \left(ii\right)$
Step 1: Find the value of $x$
Substituting $y=2+5x$ in $\left(ii\right),$ we get
Equation $\left(ii\right)$ $\to$ $y+3x=10$
$2+5x+3x=10$
$\Rightarrow 2+8x=10\Rightarrow 8x=10-2=8\Rightarrow x=1$

Step 2: Now, Find the value of y
Substitute $x=1$ in equation $\left(i\right)$
Equation $\left(i\right)$ $\to$ $y=2+5x$
$y=2+5\left(1\right)$
$\Rightarrow y=7$
$\therefore x=1,y=7$

$\therefore$ Required solution for the given pair of equations is $(1,7)$