To solve this system of equations, we can use the method of substitution.
First, let's solve the second equation for y:
3x + y = 7
y = 7 - 3x
Now, substitute this value of y into the first equation:
5x + 7(7 - 3x) = 17
5x + 49 - 21x = 17
-16x + 49 = 17
-16x = -32
x = 2
Now, substitute the value of x back into the second equation to solve for y:
3(2) + y = 7
6 + y = 7
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
5x+7y=17
3x+y=7
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