Solve the system of equations and choose the correct answer from the list of options. 2x + y = −4 y = 3x + 2 a: -6/5,-8/5 b: -8/5,-6/5 c: -6/5,-11,5 d: -11,5,-6,5

List out the system of equations vertically: because y equals an expression, we can substitute this expression into the first equation: combine like terms: subtract 2 from both sides: divide both sides by 5 to get x by itself: the value of x is -6/5.we can plug this value into one of the equations. we'll use the first equation: multiply the terms in parentheses (note that a whole number can be rewritten as a fraction with the whole number above 1): before we add a fraction to the right side, we must convert -4 into a fraction with the same denominator as -12/5: add 12/5 to both sides: the value of y is -8/5.the answer is  a: (-6/5,-8/5).

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