<PRE><B>Question 669754</B>
let x = 5
let y = 6
your equations will be of the form ax + by = c
you can pick any a and any b and solve for c using the values of x and y that you chose.
i chose:
2x + 6y = 46
7x - 3y = 17
since x = 5 and y = 6, 2x + 6y is equal to 2(5) + 6(6) which is equal to 10 + 36 which is equal to 46.
i did the same for the second equation.
the 2 equations are:
2x + 6y = 46
7x - 3y = 17
to solve these by elimination method (adding or subtracting equations from each other), you need to get the x or the y variables to cancel out.
multiplying the second equation by 2 will allow the y variable to cancel out.
2 times the second equation gets you 7x - 3y = 17 to become 14x - 6y = 34
your 2 equation to now solve are:
2x + 6y = 46
14x - 6y = 34
add these 2 equations together to get:
16x = 80
divide both sides by 16 to get x = 5
now you can substitute for x in one of the equations and solve for y to get y = 6.
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