> #mathematics , #equations , #algebra > 2x+2y=9 7x+3y=7?
Anonymous
Mar 4

2x+2y=9 7x+3y=7?

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Mar 4
To solve this system of equations, we can use the method of substitution or elimination.

Let's use the method of substitution.

From the first equation, we can solve for x in terms of y:
2x + 2y = 9
2x = 9 - 2y
x = (9 - 2y) / 2
x = 4.5 - y

Now, substitute this expression for x into the second equation:
7(4.5 - y) + 3y = 7
31.5 - 7y + 3y = 7
31.5 - 4y = 7
-4y = -24.5
y = 6.125

Now, substitute the value of y back into the expression for x:
x = 4.5 - 6.125
x = -1.625

Therefore, the solution to the system of equations is x = -1.625 and y = 6.125.
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