II gimnazjum

Matematyka z plusem 2

x - waga kostki (w kilogramach) y - waga kulki (w kilogramach) {6x+5y=3x+y+1    ∣−3x−y3x+7y=2x+4y+0.5  ∣−2x−4y​    {3x+4y=1x+3y=0.5  ∣⋅(−3)​

a) {u=v+531​u=21​v  ∣⋅6​ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; {u=v+52u=3v​ &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; {u=v+52(v+5)=3v​

a) {5a+7=4b−2  ∣−4b−75b+3=5a+3b       ∣−5a−3b−3​ &nbsp;&nbsp;&nbsp; &nbsp; &nbsp; +{5a−4b=−9−5a+2b=−3​​ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; −2b=−12 &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; b=6 &nbsp; {b=65a−4⋅6=−9​

a) {30%⋅x+40%⋅y=7930%⋅(x+y)=66​ &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; {0.3x+0.4y=790.3x+0.3y=66  ∣⋅(−1)​ &nbsp; &nbsp; &nbsp; +{0.3x+0.4y=79−0.3x−0.3y=−66​​ &nbsp;&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; 0.1y=13  ∣⋅10 &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;&nbsp; y=130 &nbsp; {y=1300.3x+0.4⋅130=79​

{p%⋅6+r%⋅8=5             ∣⋅100r%⋅6+(8+p%⋅8)=12.8  ∣⋅100​ &nbsp;&nbsp;&nbsp; {6p+8r=500            ∣:26r+800+8p=1280  ∣:2​

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