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電子課本網(wǎng) 第67頁

第67頁

信息發(fā)布者:
解:由?$2x-y=5$?可得?$y=2x-5$?
將?$y=2x-5$?代入?$3x+4y=2$?可得
?$3x+4(2x-5)=2,$?解得?$x=2$?
將?$x=2$?代入?$y=2x-5$?可得?$y=-1$?
∴方程組的解為?$\begin {cases}x = 2 \\y = -1 \end {cases}$?
解:由?$x + 4y = 2$?可得?$x = 2 - 4y$?
?$ $?將?$x = 2 - 4y$?代入?$3x - 2y = -22$?中
得?$3(2 - 4y) - 2y = -22,$?解得?$y = 2$?
?$ $?把?$y = 2$?代入?$x = 2 - 4y,$?得?$x = -6$?
∴方程組的解為?$\begin {cases}x = -6 \\y = 2 \end {cases}$?
解:?$(1) $?根據(jù)題意,得?$\begin {cases}7 + b = a - 6 \\10 + 2(b + 4) = a + 7 \end {cases},$?解得?$\begin {cases}{a=15}\\{b = 2}\end {cases}$?
∴?$a$?的值為?$15,$??$b$?的值為?$2$?
?$ (2) $?由?$(1)$?可知?$a = 15,$??$b = 2,$?則?$b + 4 = 6$?
∴?$7+(5 - 1)×2 + 10+(7 - 1)×6= 61($?元?$)$?
答:共需運費?$61$?元。
解:如,?$A$?地到?$B$?地的路程是多少千米?$?$?
?$ $?設(shè)?$A$?地到?$B$?地的普通公路長為?$x\mathrm {km},$?高速公路長為?$y\mathrm {km}$?
根據(jù)題意,得?$\begin {cases}y = 2x \\\frac {x}{60}+\frac {y}{100}=2.2 \end {cases}$?
?$ $?解得?$\begin {cases}{x = 60}\\{y =120}\end {cases}$?
∴?$x + y = 60 + 120 = 180$?
答:?$A$?地到?$B$?地的路程是?$180\ \mathrm {km}。$?