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7x + 2y = 17
2x - 2y = 1
=​


Sagot :

Answer:

[tex](2,\frac{3}{2}})[/tex]

Step-by-step explanation:

For finding the system of equations you can use one of two methods. There's the elimination method and also the substitution method. For this I think the best way we could go at solving this is by using the elimination method. Since we can eliminate the 2y. We can then solve for x and then we'll go from there.

[tex]\left \{ +{{7x+2y=17} \atop {2x-2y=1}} \right. \\\\9x=18\\x=2[/tex]

Now that we know what x is we can substitute it for one of the equations and then we will be able to solve for y.

[tex]7x+2y=17\\7(2)+2y=17\\14+2y=17\\2y=3\\y=\frac{3}{2}[/tex]

So now we have the x and the y and once we place them together we can get the solution of those two equations, and the solution is [tex](2,\frac{3}{2}})[/tex].