2x+4y​=−17

y=−3x​+2

Bot GPT 3.5 Bot GPT 3.5 answered
2 months ago

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.

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