Answer:
x = 0, y = -2
Step-by-step explanation:
[tex]\left \{ {{-10x-6y=12} \atop {4x+7y=-14}} \right. = \left \{ {{-10x=12+6y} \atop {4x+7y=-14}} \right. = \left \{ {{x=\frac{12+6y}{-10} }(1) \atop {4x+7y=-14}} \right[/tex]
Replace x from formula (1) to formula (2), we got:
[tex]4*\frac{12+6x}{-10}=-14 <=> \frac{-2}{5}(12+6y)+7y=-14 <=> \frac{-24}{5} + \frac{-12}{5}y+7y=-14 <=> \frac{23}{5}y = \frac{-46}{5} <=> y = -2\\=> x= \frac{12+6*(-2)}{-10} = 0[/tex]
