x=3 and y=−2
Step-by-step explanation:
Solve8x+5y=14for x:
8x+5y=14
8x+5y+−5y=14+−5y(Add -5y to both sides)
8x=−5y+14
8x8=−5y+148(Divide both sides by 8)
x=−58y+74
Step: Substitute−58y+74forxin−4x−5y=−2:
−4x−5y=−2
−4(−58y+74)−5y=−2
−52y−7=−2(Simplify both sides of the equation)
−52y−7+7=−2+7(Add 7 to both sides)
−52y=5
−52y−52=5−52(Divide both sides by (-5)/2)
y=−2
Step: Substitute−2foryinx=−58y+74:
x=−58y+74
x=−58(−2)+74
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−2
