Question

4x+6y=-10 8x+10y=-26 solve the system of the linear equation

Answer 1

Solution :

• 4x + 6y = - 10
• 2( 2x + 3y) = - 10
• 2x + 3y = - 5
• 2x = - 5 - 3y
• x = (-5-3y)/2______Equation 1

• 8x + 10y = - 26
• 2( 4x + 5y) = - 26
• 4x + 5y = - 13_____Equation 2

Now by using equation 1 in equation 2 we get,

$4x + 5y = - 13 \\ \\ 4( \frac{ - 5 - 3y}{2} ) + 5y = - 13 \\ \\ \frac{ - 20 - 12y}{2} + 5y = - 13 \\ \\ \frac{ - 20 - 12y + 10y}{2} = - 13 \\ \\ - 20 - 2y = - 26 \\ \\ - 2y = - 26 + 20 \\ \\ - 2y = - 6 \\ \\ y = 3$

Now upon using the value of y in equation 1, we get

$x = \frac{ - 5 - 3y}{2} \\ \\ x = \frac{ - 5 - 3 \times 3}{2} \\ \\ x = \frac{ - 5 - 9}{2} \\ \\ x = \frac{ - 14}{2} = - 7$

Answer 2

The answer is
Y=-3
X=2