Question 947975
{{{4x - 5y = 11}}} and
{{{6x + 7y = 31}}}
To eliminate one of the variables, let us multiply the top equation by 3 and the bottom equation by -2, so we can have 12x on the top and -12x on the bottom, so then we can add the two equations to eliminate the x variable.
{{{12x-15y=33}}} and
{{{-12x-14y=-62}}}
Now let's add the two equations together, thus eliminating the x variable.
{{{-29y=-29}}}
{{{y=1}}}
We know that y is 1, so let's plug it into one of the equations. For example, let's just use the first one, to find x.
{{{4x-5(1)=11}}}
{{{4x-5=11}}}
{{{4x=16}}}
{{{x=4}}}

Thus the answer is D: (4,1).