What is the value of x in the solution to this system of equations? 3x−5y=223𝑥-5𝑦=22 y=−5x+32𝑦=-5𝑥+32 A. −6.5 B. 0.5 C. 6.5 D. −0.5
Question
What is the value of x in the solution to this system of equations?
A.
B.
C.
D.
Solution
To solve for x, we can substitute the second equation into the first equation.
The first equation is 3x - 5y = 22 and the second equation is y = -5x + 32.
Substituting the second equation into the first equation gives us:
3x - 5(-5x + 32) = 22 3x + 25x - 160 = 22 28x = 182 x = 182 / 28 x = 6.5
So, the value of x in the solution to this system of equations is 6.5, which corresponds to option C.
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