To solve this system of equations, we can use substitution by setting the second equation equal to y in terms of x and then plugging that into the first equation.
Since y = -3x + 2, we can substitute this into the first equation:
2x + 4(-3x + 2) = -17
2x - 12x + 8 = -17
-10x + 8 = -17
-10x = -25
x = 2.5
Now that we have found the value of x, we can plug it back into the second equation to find y:
y = -3(2.5) + 2
y = -7.5 + 2
y = -5.5
So, the solution to the system of equations is x = 2.5 and y = -5.5.
2x+4y=−17
y=−3x+2
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