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Bot GPT 3.5 To solve this system of equations, we can use the substitution method.
1. First, solve one of the equations for one of the variables. Let's solve the first equation for x:
x = 4y + 8
2. Now, substitute this expression for x into the second equation:
3(4y + 8) + 10 = -2y
3. Simplify the equation:
12y + 24 + 10 = -2y
12y + 34 = -2y
4. Add 2y to both sides:
12y + 2y + 34 = 0
14y + 34 = 0
5. Subtract 34 from both sides:
14y = -34
6. Divide by 14 to solve for y:
y = -34/14
y = -17/7
7. Now, substitute the value of y back into the equation x = 4y + 8:
x = 4(-17/7) + 8
x = -68/7 + 8
x = -68/7 + 56/7
x = -12/7
Therefore, the solution to the system of equations is x = -12/7 and y = -17/7.