What is the value of x in the solution to this system of equations?
y=-3x +14
3x-5y=-25
A. 2.5
B. 6.5
C. -2.5
D. -6.5
To solve this system of equations, we can substitute the value of y from the first equation into the second equation and solve for x.
Substituting -3x + 14 for y in the second equation gives us:
3x - 5(-3x + 14) = -25
Expanding and simplifying the equation gives us:
3x + 15x - 70 = -25
Combining like terms gives us:
18x - 70 = -25
Adding 70 to both sides gives us:
18x = 45
Dividing both sides by 18 gives us:
x = 45/18
Simplifying the fraction gives us:
x = 2.5
Therefore, the value of x in the solution to this system of equations is 2.5.
The answer is A. 2.5.