MATH SOLVE

4 months ago

Q:
# Solve the following system of equations.-3x + 5y =85x + 4y =34A. x = 2, y = 18.2 B. x = 11, y = -10 C. x = -10, y = 11 D. x = 8, y = 6.5

Accepted Solution

A:

Answer: option C [tex]x=-10\\y=11[/tex]Step-by-step explanation: You can apply the elimination method: - Multiply the second equation by 3. - Add both equations to cancel out the variable x. - Solve for y: [tex]\left \{ {{-3x+5y=85} \atop {(3)(x+4y)=34(3)}} \right.\\\\\left \{ {{-3x+5y=85} \atop {3x+12y=102}} \right.\\-------\\17y=187\\y=11[/tex] - Substitute y=11 into any of the original equations ans solve for x. Then: [tex]x+4(11)=34\\x=34-44\\x=-10[/tex]