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? 3x−5y=223𝑥-5𝑦=22 y=−5x+32𝑦=-5𝑥+32 A. −6.5 B. 0.5 C. 6.5 D. −0.5
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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