x−y4(x+2y)amp;=y−4+2(4.5−2x)amp;=−p+7yIn the system of equations, p is a constant. For which value of p is there exactly one solution (x,y) where x=−1 ?Choose 1 answer:(A) −5(B) 9(C) Any real number(D) None of the above
Q. x−y4(x+2y)=y−4+2(4.5−2x)=−p+7yIn the system of equations, p is a constant. For which value of p is there exactly one solution (x,y) where x=−1 ?Choose 1 answer:(A) −5(B) 9(C) Any real number(D) None of the above
Substitute x=−1: Substitute x=−1 into the first equation x−y=y−4+2(4.5−2x).This gives us −1−y=y−4+2(4.5−2(−1)).
Simplify to find y: Simplify the equation to find y.−1−y=y−4+9+4. This simplifies to −1−y=y+9.
Combine terms to solve: Combine like terms to solve for y.−1−y−y=9. This simplifies to −1−2y=9.
Add 1 to isolate: Add 1 to both sides to isolate the term with y.−2y=10.
Divide to find y: Divide both sides by −2 to solve for y.y=−5.
Substitute x,y into second: Now substitute x=−1 and y=−5 into the second equation 4(x+2y)=−p+7y. This gives us 4(−1+2(−5))=−p+7(−5).
Simplify to find p: Simplify the equation to find p.4(−1−10)=−p−35.This simplifies to −44=−p−35.
Add 35 to solve: Add 35 to both sides to solve for p.−44+35=−p.This simplifies to −9=−p.
Multiply to find p: Multiply both sides by −1 to solve for p.p=9.
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