Question

Solve the following simultaneous equations:

$2x+7y=11$, $5x+\frac{35}{2}y=25$

• A. $x=0,y=5$
• B. $x=12,y=-35$
• C. No solution
• D. None of these

Answer 1

The correct option is C No solution

We pick either of the equations and write one variable in terms of the other.

Let us consider the equation $2x+7y=11$and write it as

$x=\frac{11-7y}{2}...........\left(1\right)$

Substitute the value of $x$ in Equation $5x+\frac{35}{2}y=25$ or $5x+17.5y=25$. We get

$5\left(\frac{11-7y}{2}\right)+17.5y=25\Rightarrow 55-35y+35y=50\Rightarrow 50=50$

Hence, there is no solution of the given system of equations.