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neonofarm [45]
3 years ago
14

Substitution: y-2x=-6 and 5x-y=9

Mathematics
2 answers:
Dmitrij [34]3 years ago
7 0
<span>y-2x=-6 and 5x-y=9   

step 1: isolate y in the first equation

y = 2x - 6

step 2:  substitute the y value on the 2th equation:

5x-(2x-6)=9

step 3:  solve the present equation:

5x - 2x + 6 = 9
3x = 9-6
3x = 3
x = 1

step 4: get the y value by replacing the value of x in </span>y = 2x - 6:
<span>
y = 2*1 - 6
y = 2 - 6
y = -4

S={1, -4}



</span>
Karo-lina-s [1.5K]3 years ago
7 0
\left \{ {\big{y-2x=-6} \atop\big {5x-y=9\ \ }} \right. \\\\ \left \{ {\big{y=2x-6\ \ \ \ \ \ \ \ \ \ } \atop\big {5x-(2x-6)=9\ \ }} \right. \\\\ \left \{ {\big{y=2x-6\ \ \ \ \ \ \ \ \ \ } \atop\big {5x-2x+6=9\ \ }} \right. \\\\ \left \{ {\big{y=2x-6\ \  } \atop\big {3x=3\ /:3 }} \right. \\\\ \left \{ {\big{y=2x-6 } \atop\big {x=1\ \ \ \ \ \  }} \right. \\\\ \left \{ {\big{y=-4 } \atop\big {x=1\  }} \right. \\\\

Ans.\  \left \{ {\big{x=1} \atop\big {y=-4}} \right. \ \ \ \Rightarrow\ \ \ point:\ \ (1;-4)
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