Question

Решите системы уравнений

Answer 1

$left { {{2*4^x+3*5^y=11} atop {5*4^x+4*5^y=24}} right. ; left { {{-10*4^x-15*5^y=-55} atop {10*4^x+8*5^y=48}} right. ; left { {{2*4^x+3*5^y=11} atop {-7*5^y=-7}} right. ; left { {{2*4^x+3*1=11} atop {5^y=1}} right. ;\\ left { {{2*4^x=8} atop {y=0}} right. ; left { {{4^x=4} atop {y=0}} right. ; left { {{x=1} atop {y=0}} right. .$
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$left { {{2^x-2^y=1} atop {2^{3x}-2^{3y}=7}} right. ; left { {{2^x-2^y=1} atop {(2^{x}-2^{y})(2^{2x}+2^x*2^y+2^{2y})=7}} right. ; left { {{2^x-2^y=1} atop {2^{2x}+2^x*2^y+2^{2y}=7}} right. ;\\ left { {{2^x-2^y=1} atop {2^{2x}-2*2^x*2^y+2^{2y}+3*2^x*2^y=7}} right. ; left { {{2^x-2^y=1} atop {(2^{x}-2^{y})^2+3*2^x*2^y=7}} right. ; left { {{2^x-2^y=1} atop {1^2+3*2^x*2^y=7}} right. ;\\ left { {{2^x-2^y=1} atop {3*2^x*2^y=6}} right. ;$

$left { {{2^x-2^y=1} atop {2^{x+y}=2^1}} right. ; left { {{2^x-2^y=1} atop {x+y=1}} right. ; left { {{2^x-2^{1-x}=1} atop {y=1-x}} right. ; left { {{2^x-frac{2}{2^x}=1} atop {y=1-x}} right. ; left { {{1*(2^x)^2-1*2^x-2=0} atop {y=1-x}} right. ;\\ left { {{2^x*2^x+1*2^x-2*2^x-2=0} atop {y=1-x}} right. ; left { {{2^x*(2^x+1)-2(2^x+1)=0} atop {y=1-x}} right. ; left { {{(2^x-2)*(2^x+1)=0} atop {y=1-x}} right. ;$

$left { {{2^x-2=0} atop {y=1-x}} right. ; left { {{2^x=2^1} atop {y=1-x}} right. ; left { {{x=1} atop {y=0}} right. .$