or
or
To solve the system of equations:
You can use the method of substitution or elimination. Here, we'll use the elimination method. Multiply equation (1) by 2 to make the coefficients of y in both equations equal:
Now, subtract equation (2) from equation (1) to eliminate x:
(2x + 4y) - (2x + y) = 16 - 7
Simplify:
2x + 4y - 2x - y = 9
Combine like terms:
3y = 9
Now, divide both sides by 3 to find the value of y:
3y/3 = 9/3
y = 3
Now that you have the value of y, you can substitute it back into either equation (1) or (2) to solve for x. We'll use equation (2):
2x + y = 7
2x + 3 = 7
Subtract 3 from both sides:
2x = 7 - 3
2x = 4
Divide both sides by 2 to find the value of x:
2x/2 = 4/2
x = 2
So, the solution to the system of equations is x = 2 and y = 3, which can be written as (2, 3).
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